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Finding the Third Proportional to 472,764 and 709,478

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Solution

The third proportional to 472,764 and 709,478 is: 1,064,715.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,764 : 709,478 = 709,478 : x
  2. Step 2: Convert to fraction form
    472,764/709,478 = 709,478/x
  3. Step 3: Cross multiply
    472,764x = 709,478 × 709,478
  4. Step 4: Simplify right side
    472,764x = 503,359,032,484
  5. Step 5: Solve for x
    x = 503,359,032,484/472,764
  6. Step 6: Final answer
    x = 1,064,715.23

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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.