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Finding the Third Proportional to 472,874 and 707,643

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Solution

The third proportional to 472,874 and 707,643 is: 1,058,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,874 : 707,643 = 707,643 : x
  2. Step 2: Convert to fraction form
    472,874/707,643 = 707,643/x
  3. Step 3: Cross multiply
    472,874x = 707,643 × 707,643
  4. Step 4: Simplify right side
    472,874x = 500,758,615,449
  5. Step 5: Solve for x
    x = 500,758,615,449/472,874
  6. Step 6: Final answer
    x = 1,058,968.38

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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.