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Finding the Third Proportional to 456,469 and 709,621

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Solution

The third proportional to 456,469 and 709,621 is: 1,103,167.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,469 : 709,621 = 709,621 : x
  2. Step 2: Convert to fraction form
    456,469/709,621 = 709,621/x
  3. Step 3: Cross multiply
    456,469x = 709,621 × 709,621
  4. Step 4: Simplify right side
    456,469x = 503,561,963,641
  5. Step 5: Solve for x
    x = 503,561,963,641/456,469
  6. Step 6: Final answer
    x = 1,103,167.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.