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Finding the Third Proportional to 128,140.13 and 195,370.88

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Solution

The third proportional to 128,140.13 and 195,370.88 is: 297,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,140.13 : 195,370.88 = 195,370.88 : x
  2. Step 2: Convert to fraction form
    128,140.13/195,370.88 = 195,370.88/x
  3. Step 3: Cross multiply
    128,140.13x = 195,370.88 × 195,370.88
  4. Step 4: Simplify right side
    128,140.13x = 38,169,778,798.27
  5. Step 5: Solve for x
    x = 38,169,778,798.27/128,140.13
  6. Step 6: Final answer
    x = 297,875.30

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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.