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Finding the Third Proportional to 134,982 and 312,489

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Solution

The third proportional to 134,982 and 312,489 is: 723,425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,982 : 312,489 = 312,489 : x
  2. Step 2: Convert to fraction form
    134,982/312,489 = 312,489/x
  3. Step 3: Cross multiply
    134,982x = 312,489 × 312,489
  4. Step 4: Simplify right side
    134,982x = 97,649,375,121
  5. Step 5: Solve for x
    x = 97,649,375,121/134,982
  6. Step 6: Final answer
    x = 723,425.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.