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Finding the Third Proportional to 81,194,728.50 and 117,312,387.75

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Solution

The third proportional to 81,194,728.50 and 117,312,387.75 is: 169,496,180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,194,728.50 : 117,312,387.75 = 117,312,387.75 : x
  2. Step 2: Convert to fraction form
    81,194,728.50/117,312,387.75 = 117,312,387.75/x
  3. Step 3: Cross multiply
    81,194,728.50x = 117,312,387.75 × 117,312,387.75
  4. Step 4: Simplify right side
    81,194,728.50x = 13,762,196,319,606,350
  5. Step 5: Solve for x
    x = 13,762,196,319,606,350/81,194,728.50
  6. Step 6: Final answer
    x = 169,496,180.03

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.