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Finding the Third Proportional to 7,780,219.50 and 12,500,691.75

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Solution

The third proportional to 7,780,219.50 and 12,500,691.75 is: 20,085,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780,219.50 : 12,500,691.75 = 12,500,691.75 : x
  2. Step 2: Convert to fraction form
    7,780,219.50/12,500,691.75 = 12,500,691.75/x
  3. Step 3: Cross multiply
    7,780,219.50x = 12,500,691.75 × 12,500,691.75
  4. Step 4: Simplify right side
    7,780,219.50x = 156,267,294,228,518.06
  5. Step 5: Solve for x
    x = 156,267,294,228,518.06/7,780,219.50
  6. Step 6: Final answer
    x = 20,085,203.80

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.