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Finding the Third Proportional to 111,657.38 and 243,390.75

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Solution

The third proportional to 111,657.38 and 243,390.75 is: 530,543.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,657.38 : 243,390.75 = 243,390.75 : x
  2. Step 2: Convert to fraction form
    111,657.38/243,390.75 = 243,390.75/x
  3. Step 3: Cross multiply
    111,657.38x = 243,390.75 × 243,390.75
  4. Step 4: Simplify right side
    111,657.38x = 59,239,057,185.56
  5. Step 5: Solve for x
    x = 59,239,057,185.56/111,657.38
  6. Step 6: Final answer
    x = 530,543.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.