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Finding the Third Proportional to 128,988.75 and 195,430.88

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Solution

The third proportional to 128,988.75 and 195,430.88 is: 296,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,988.75 : 195,430.88 = 195,430.88 : x
  2. Step 2: Convert to fraction form
    128,988.75/195,430.88 = 195,430.88/x
  3. Step 3: Cross multiply
    128,988.75x = 195,430.88 × 195,430.88
  4. Step 4: Simplify right side
    128,988.75x = 38,193,226,903.27
  5. Step 5: Solve for x
    x = 38,193,226,903.27/128,988.75
  6. Step 6: Final answer
    x = 296,097.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.