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Finding the Third Proportional to 657,480,609 and 987,085,750.50

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Solution

The third proportional to 657,480,609 and 987,085,750.50 is: 1,481,927,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,480,609 : 987,085,750.50 = 987,085,750.50 : x
  2. Step 2: Convert to fraction form
    657,480,609/987,085,750.50 = 987,085,750.50/x
  3. Step 3: Cross multiply
    657,480,609x = 987,085,750.50 × 987,085,750.50
  4. Step 4: Simplify right side
    657,480,609x = 974,338,278,840,148,224
  5. Step 5: Solve for x
    x = 974,338,278,840,148,224/657,480,609
  6. Step 6: Final answer
    x = 1,481,927,018.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.