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Finding the Third Proportional to 138,306 and 312,517

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Solution

The third proportional to 138,306 and 312,517 is: 706,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,306 : 312,517 = 312,517 : x
  2. Step 2: Convert to fraction form
    138,306/312,517 = 312,517/x
  3. Step 3: Cross multiply
    138,306x = 312,517 × 312,517
  4. Step 4: Simplify right side
    138,306x = 97,666,875,289
  5. Step 5: Solve for x
    x = 97,666,875,289/138,306
  6. Step 6: Final answer
    x = 706,165.14

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.