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Finding the Third Proportional to 101,535 and 234,013.50

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Solution

The third proportional to 101,535 and 234,013.50 is: 539,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,535 : 234,013.50 = 234,013.50 : x
  2. Step 2: Convert to fraction form
    101,535/234,013.50 = 234,013.50/x
  3. Step 3: Cross multiply
    101,535x = 234,013.50 × 234,013.50
  4. Step 4: Simplify right side
    101,535x = 54,762,318,182.25
  5. Step 5: Solve for x
    x = 54,762,318,182.25/101,535
  6. Step 6: Final answer
    x = 539,344.25

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.