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Finding the Third Proportional to 392,101.50 and 580,864.50

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Solution

The third proportional to 392,101.50 and 580,864.50 is: 860,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,101.50 : 580,864.50 = 580,864.50 : x
  2. Step 2: Convert to fraction form
    392,101.50/580,864.50 = 580,864.50/x
  3. Step 3: Cross multiply
    392,101.50x = 580,864.50 × 580,864.50
  4. Step 4: Simplify right side
    392,101.50x = 337,403,567,360.25
  5. Step 5: Solve for x
    x = 337,403,567,360.25/392,101.50
  6. Step 6: Final answer
    x = 860,500.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.