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Finding the Third Proportional to 134,996 and 312,521

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Solution

The third proportional to 134,996 and 312,521 is: 723,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,996 : 312,521 = 312,521 : x
  2. Step 2: Convert to fraction form
    134,996/312,521 = 312,521/x
  3. Step 3: Cross multiply
    134,996x = 312,521 × 312,521
  4. Step 4: Simplify right side
    134,996x = 97,669,375,441
  5. Step 5: Solve for x
    x = 97,669,375,441/134,996
  6. Step 6: Final answer
    x = 723,498.29

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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.