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Finding the Third Proportional to 561,213 and 1,272,237

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Solution

The third proportional to 561,213 and 1,272,237 is: 2,884,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,213 : 1,272,237 = 1,272,237 : x
  2. Step 2: Convert to fraction form
    561,213/1,272,237 = 1,272,237/x
  3. Step 3: Cross multiply
    561,213x = 1,272,237 × 1,272,237
  4. Step 4: Simplify right side
    561,213x = 1,618,586,984,169
  5. Step 5: Solve for x
    x = 1,618,586,984,169/561,213
  6. Step 6: Final answer
    x = 2,884,086.76

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.