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Finding the Third Proportional to 131,220 and 278,842.50

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Solution

The third proportional to 131,220 and 278,842.50 is: 592,540.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,220 : 278,842.50 = 278,842.50 : x
  2. Step 2: Convert to fraction form
    131,220/278,842.50 = 278,842.50/x
  3. Step 3: Cross multiply
    131,220x = 278,842.50 × 278,842.50
  4. Step 4: Simplify right side
    131,220x = 77,753,139,806.25
  5. Step 5: Solve for x
    x = 77,753,139,806.25/131,220
  6. Step 6: Final answer
    x = 592,540.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.