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Finding the Third Proportional to 134,970 and 312,463

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Solution

The third proportional to 134,970 and 312,463 is: 723,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,970 : 312,463 = 312,463 : x
  2. Step 2: Convert to fraction form
    134,970/312,463 = 312,463/x
  3. Step 3: Cross multiply
    134,970x = 312,463 × 312,463
  4. Step 4: Simplify right side
    134,970x = 97,633,126,369
  5. Step 5: Solve for x
    x = 97,633,126,369/134,970
  6. Step 6: Final answer
    x = 723,369.09

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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.