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Finding the Third Proportional to 528,650 and 790,665

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Solution

The third proportional to 528,650 and 790,665 is: 1,182,542.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,650 : 790,665 = 790,665 : x
  2. Step 2: Convert to fraction form
    528,650/790,665 = 790,665/x
  3. Step 3: Cross multiply
    528,650x = 790,665 × 790,665
  4. Step 4: Simplify right side
    528,650x = 625,151,142,225
  5. Step 5: Solve for x
    x = 625,151,142,225/528,650
  6. Step 6: Final answer
    x = 1,182,542.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.