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Finding the Third Proportional to 135,853.50 and 259,387.50

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Solution

The third proportional to 135,853.50 and 259,387.50 is: 495,253.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,853.50 : 259,387.50 = 259,387.50 : x
  2. Step 2: Convert to fraction form
    135,853.50/259,387.50 = 259,387.50/x
  3. Step 3: Cross multiply
    135,853.50x = 259,387.50 × 259,387.50
  4. Step 4: Simplify right side
    135,853.50x = 67,281,875,156.25
  5. Step 5: Solve for x
    x = 67,281,875,156.25/135,853.50
  6. Step 6: Final answer
    x = 495,253.16

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.