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Finding the Third Proportional to 61,506.19 and 132,445.50

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Solution

The third proportional to 61,506.19 and 132,445.50 is: 285,204.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,506.19 : 132,445.50 = 132,445.50 : x
  2. Step 2: Convert to fraction form
    61,506.19/132,445.50 = 132,445.50/x
  3. Step 3: Cross multiply
    61,506.19x = 132,445.50 × 132,445.50
  4. Step 4: Simplify right side
    61,506.19x = 17,541,810,470.25
  5. Step 5: Solve for x
    x = 17,541,810,470.25/61,506.19
  6. Step 6: Final answer
    x = 285,204.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.