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Finding the Third Proportional to 61,709,861.25 and 131,620,970.25

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Solution

The third proportional to 61,709,861.25 and 131,620,970.25 is: 280,734,382.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,709,861.25 : 131,620,970.25 = 131,620,970.25 : x
  2. Step 2: Convert to fraction form
    61,709,861.25/131,620,970.25 = 131,620,970.25/x
  3. Step 3: Cross multiply
    61,709,861.25x = 131,620,970.25 × 131,620,970.25
  4. Step 4: Simplify right side
    61,709,861.25x = 17,324,079,809,551,386
  5. Step 5: Solve for x
    x = 17,324,079,809,551,386/61,709,861.25
  6. Step 6: Final answer
    x = 280,734,382.78

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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.