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Finding the Third Proportional to 137,772 and 292,080

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Solution

The third proportional to 137,772 and 292,080 is: 619,216.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,772 : 292,080 = 292,080 : x
  2. Step 2: Convert to fraction form
    137,772/292,080 = 292,080/x
  3. Step 3: Cross multiply
    137,772x = 292,080 × 292,080
  4. Step 4: Simplify right side
    137,772x = 85,310,726,400
  5. Step 5: Solve for x
    x = 85,310,726,400/137,772
  6. Step 6: Final answer
    x = 619,216.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.