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Finding the Third Proportional to 42,782.30 and 66,506.77

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Solution

The third proportional to 42,782.30 and 66,506.77 is: 103,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,782.30 : 66,506.77 = 66,506.77 : x
  2. Step 2: Convert to fraction form
    42,782.30/66,506.77 = 66,506.77/x
  3. Step 3: Cross multiply
    42,782.30x = 66,506.77 × 66,506.77
  4. Step 4: Simplify right side
    42,782.30x = 4,423,149,873.90
  5. Step 5: Solve for x
    x = 4,423,149,873.90/42,782.30
  6. Step 6: Final answer
    x = 103,387.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.