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Finding the Third Proportional to 454,748 and 757,866

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Solution

The third proportional to 454,748 and 757,866 is: 1,263,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,748 : 757,866 = 757,866 : x
  2. Step 2: Convert to fraction form
    454,748/757,866 = 757,866/x
  3. Step 3: Cross multiply
    454,748x = 757,866 × 757,866
  4. Step 4: Simplify right side
    454,748x = 574,360,873,956
  5. Step 5: Solve for x
    x = 574,360,873,956/454,748
  6. Step 6: Final answer
    x = 1,263,031.12

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.