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Finding the Third Proportional to 458,862.75 and 645,031.13

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Solution

The third proportional to 458,862.75 and 645,031.13 is: 906,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,862.75 : 645,031.13 = 645,031.13 : x
  2. Step 2: Convert to fraction form
    458,862.75/645,031.13 = 645,031.13/x
  3. Step 3: Cross multiply
    458,862.75x = 645,031.13 × 645,031.13
  4. Step 4: Simplify right side
    458,862.75x = 416,065,152,218.77
  5. Step 5: Solve for x
    x = 416,065,152,218.77/458,862.75
  6. Step 6: Final answer
    x = 906,731.16

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.