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Finding the Third Proportional to 458,929.88 and 645,133.31

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Solution

The third proportional to 458,929.88 and 645,133.31 is: 906,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,929.88 : 645,133.31 = 645,133.31 : x
  2. Step 2: Convert to fraction form
    458,929.88/645,133.31 = 645,133.31/x
  3. Step 3: Cross multiply
    458,929.88x = 645,133.31 × 645,133.31
  4. Step 4: Simplify right side
    458,929.88x = 416,196,990,897.22
  5. Step 5: Solve for x
    x = 416,196,990,897.22/458,929.88
  6. Step 6: Final answer
    x = 906,885.81

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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.