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Finding the Third Proportional to 290,750 and 616,725

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Solution

The third proportional to 290,750 and 616,725 is: 1,308,167.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,750 : 616,725 = 616,725 : x
  2. Step 2: Convert to fraction form
    290,750/616,725 = 616,725/x
  3. Step 3: Cross multiply
    290,750x = 616,725 × 616,725
  4. Step 4: Simplify right side
    290,750x = 380,349,725,625
  5. Step 5: Solve for x
    x = 380,349,725,625/290,750
  6. Step 6: Final answer
    x = 1,308,167.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.