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Finding the Third Proportional to 656,634 and 887,507

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Solution

The third proportional to 656,634 and 887,507 is: 1,199,555.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,634 : 887,507 = 887,507 : x
  2. Step 2: Convert to fraction form
    656,634/887,507 = 887,507/x
  3. Step 3: Cross multiply
    656,634x = 887,507 × 887,507
  4. Step 4: Simplify right side
    656,634x = 787,668,675,049
  5. Step 5: Solve for x
    x = 787,668,675,049/656,634
  6. Step 6: Final answer
    x = 1,199,555.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.