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Finding the Third Proportional to 43,707.50 and 77,714.50

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Solution

The third proportional to 43,707.50 and 77,714.50 is: 138,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,707.50 : 77,714.50 = 77,714.50 : x
  2. Step 2: Convert to fraction form
    43,707.50/77,714.50 = 77,714.50/x
  3. Step 3: Cross multiply
    43,707.50x = 77,714.50 × 77,714.50
  4. Step 4: Simplify right side
    43,707.50x = 6,039,543,510.25
  5. Step 5: Solve for x
    x = 6,039,543,510.25/43,707.50
  6. Step 6: Final answer
    x = 138,180.94

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.