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Finding the Third Proportional to 252,662,133,314 and 561,815,913,481

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Solution

The third proportional to 252,662,133,314 and 561,815,913,481 is: 1,249,245,846,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,662,133,314 : 561,815,913,481 = 561,815,913,481 : x
  2. Step 2: Convert to fraction form
    252,662,133,314/561,815,913,481 = 561,815,913,481/x
  3. Step 3: Cross multiply
    252,662,133,314x = 561,815,913,481 × 561,815,913,481
  4. Step 4: Simplify right side
    252,662,133,314x = 315,637,120,640,490,491,871,232
  5. Step 5: Solve for x
    x = 315,637,120,640,490,491,871,232/252,662,133,314
  6. Step 6: Final answer
    x = 1,249,245,846,619.32

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.