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Finding the Third Proportional to 99,148.50 and 142,089.75

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Solution

The third proportional to 99,148.50 and 142,089.75 is: 203,628.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,148.50 : 142,089.75 = 142,089.75 : x
  2. Step 2: Convert to fraction form
    99,148.50/142,089.75 = 142,089.75/x
  3. Step 3: Cross multiply
    99,148.50x = 142,089.75 × 142,089.75
  4. Step 4: Simplify right side
    99,148.50x = 20,189,497,055.06
  5. Step 5: Solve for x
    x = 20,189,497,055.06/99,148.50
  6. Step 6: Final answer
    x = 203,628.87

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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.