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Finding the Third Proportional to 637,900 and 866,706

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Solution

The third proportional to 637,900 and 866,706 is: 1,177,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,900 : 866,706 = 866,706 : x
  2. Step 2: Convert to fraction form
    637,900/866,706 = 866,706/x
  3. Step 3: Cross multiply
    637,900x = 866,706 × 866,706
  4. Step 4: Simplify right side
    637,900x = 751,179,290,436
  5. Step 5: Solve for x
    x = 751,179,290,436/637,900
  6. Step 6: Final answer
    x = 1,177,581.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.