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Finding the Third Proportional to 458,866.88 and 645,038.25

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Solution

The third proportional to 458,866.88 and 645,038.25 is: 906,743.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,866.88 : 645,038.25 = 645,038.25 : x
  2. Step 2: Convert to fraction form
    458,866.88/645,038.25 = 645,038.25/x
  3. Step 3: Cross multiply
    458,866.88x = 645,038.25 × 645,038.25
  4. Step 4: Simplify right side
    458,866.88x = 416,074,343,963.06
  5. Step 5: Solve for x
    x = 416,074,343,963.06/458,866.88
  6. Step 6: Final answer
    x = 906,743.04

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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.