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Finding the Third Proportional to 81,016,753.50 and 115,771,065.75

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Solution

The third proportional to 81,016,753.50 and 115,771,065.75 is: 165,434,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,016,753.50 : 115,771,065.75 = 115,771,065.75 : x
  2. Step 2: Convert to fraction form
    81,016,753.50/115,771,065.75 = 115,771,065.75/x
  3. Step 3: Cross multiply
    81,016,753.50x = 115,771,065.75 × 115,771,065.75
  4. Step 4: Simplify right side
    81,016,753.50x = 13,402,939,664,890,824
  5. Step 5: Solve for x
    x = 13,402,939,664,890,824/81,016,753.50
  6. Step 6: Final answer
    x = 165,434,173.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.