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Finding the Third Proportional to 158,800 and 340,624

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Solution

The third proportional to 158,800 and 340,624 is: 730,634.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,800 : 340,624 = 340,624 : x
  2. Step 2: Convert to fraction form
    158,800/340,624 = 340,624/x
  3. Step 3: Cross multiply
    158,800x = 340,624 × 340,624
  4. Step 4: Simplify right side
    158,800x = 116,024,709,376
  5. Step 5: Solve for x
    x = 116,024,709,376/158,800
  6. Step 6: Final answer
    x = 730,634.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.