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Finding the Third Proportional to 137,427 and 297,063

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Solution

The third proportional to 137,427 and 297,063 is: 642,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,427 : 297,063 = 297,063 : x
  2. Step 2: Convert to fraction form
    137,427/297,063 = 297,063/x
  3. Step 3: Cross multiply
    137,427x = 297,063 × 297,063
  4. Step 4: Simplify right side
    137,427x = 88,246,425,969
  5. Step 5: Solve for x
    x = 88,246,425,969/137,427
  6. Step 6: Final answer
    x = 642,133.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.