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Finding the Third Proportional to 620,499 and 911,037

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Solution

The third proportional to 620,499 and 911,037 is: 1,337,614.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,499 : 911,037 = 911,037 : x
  2. Step 2: Convert to fraction form
    620,499/911,037 = 911,037/x
  3. Step 3: Cross multiply
    620,499x = 911,037 × 911,037
  4. Step 4: Simplify right side
    620,499x = 829,988,415,369
  5. Step 5: Solve for x
    x = 829,988,415,369/620,499
  6. Step 6: Final answer
    x = 1,337,614.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.