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Finding the Third Proportional to 61,034.50 and 142,596

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Solution

The third proportional to 61,034.50 and 142,596 is: 333,149.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,034.50 : 142,596 = 142,596 : x
  2. Step 2: Convert to fraction form
    61,034.50/142,596 = 142,596/x
  3. Step 3: Cross multiply
    61,034.50x = 142,596 × 142,596
  4. Step 4: Simplify right side
    61,034.50x = 20,333,619,216
  5. Step 5: Solve for x
    x = 20,333,619,216/61,034.50
  6. Step 6: Final answer
    x = 333,149.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.