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Finding the Third Proportional to 472,728 and 709,436

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Solution

The third proportional to 472,728 and 709,436 is: 1,064,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,728 : 709,436 = 709,436 : x
  2. Step 2: Convert to fraction form
    472,728/709,436 = 709,436/x
  3. Step 3: Cross multiply
    472,728x = 709,436 × 709,436
  4. Step 4: Simplify right side
    472,728x = 503,299,438,096
  5. Step 5: Solve for x
    x = 503,299,438,096/472,728
  6. Step 6: Final answer
    x = 1,064,670.25

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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.