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Finding the Third Proportional to 158,775 and 342,479

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Solution

The third proportional to 158,775 and 342,479 is: 738,730.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,775 : 342,479 = 342,479 : x
  2. Step 2: Convert to fraction form
    158,775/342,479 = 342,479/x
  3. Step 3: Cross multiply
    158,775x = 342,479 × 342,479
  4. Step 4: Simplify right side
    158,775x = 117,291,865,441
  5. Step 5: Solve for x
    x = 117,291,865,441/158,775
  6. Step 6: Final answer
    x = 738,730.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.