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Finding the Third Proportional to 138,231 and 301,473

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Solution

The third proportional to 138,231 and 301,473 is: 657,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,231 : 301,473 = 301,473 : x
  2. Step 2: Convert to fraction form
    138,231/301,473 = 301,473/x
  3. Step 3: Cross multiply
    138,231x = 301,473 × 301,473
  4. Step 4: Simplify right side
    138,231x = 90,885,969,729
  5. Step 5: Solve for x
    x = 90,885,969,729/138,231
  6. Step 6: Final answer
    x = 657,493.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.