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Finding the Third Proportional to 61,246.38 and 144,101.50

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Solution

The third proportional to 61,246.38 and 144,101.50 is: 339,044.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,246.38 : 144,101.50 = 144,101.50 : x
  2. Step 2: Convert to fraction form
    61,246.38/144,101.50 = 144,101.50/x
  3. Step 3: Cross multiply
    61,246.38x = 144,101.50 × 144,101.50
  4. Step 4: Simplify right side
    61,246.38x = 20,765,242,302.25
  5. Step 5: Solve for x
    x = 20,765,242,302.25/61,246.38
  6. Step 6: Final answer
    x = 339,044.43

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.