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Finding the Third Proportional to 134,482 and 289,712

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Solution

The third proportional to 134,482 and 289,712 is: 624,121.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,482 : 289,712 = 289,712 : x
  2. Step 2: Convert to fraction form
    134,482/289,712 = 289,712/x
  3. Step 3: Cross multiply
    134,482x = 289,712 × 289,712
  4. Step 4: Simplify right side
    134,482x = 83,933,042,944
  5. Step 5: Solve for x
    x = 83,933,042,944/134,482
  6. Step 6: Final answer
    x = 624,121.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.