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Finding the Third Proportional to 137,431 and 297,071

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Solution

The third proportional to 137,431 and 297,071 is: 642,149.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,431 : 297,071 = 297,071 : x
  2. Step 2: Convert to fraction form
    137,431/297,071 = 297,071/x
  3. Step 3: Cross multiply
    137,431x = 297,071 × 297,071
  4. Step 4: Simplify right side
    137,431x = 88,251,179,041
  5. Step 5: Solve for x
    x = 88,251,179,041/137,431
  6. Step 6: Final answer
    x = 642,149.00

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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.