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Finding the Third Proportional to 156,675 and 334,489

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Solution

The third proportional to 156,675 and 334,489 is: 714,108.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,675 : 334,489 = 334,489 : x
  2. Step 2: Convert to fraction form
    156,675/334,489 = 334,489/x
  3. Step 3: Cross multiply
    156,675x = 334,489 × 334,489
  4. Step 4: Simplify right side
    156,675x = 111,882,891,121
  5. Step 5: Solve for x
    x = 111,882,891,121/156,675
  6. Step 6: Final answer
    x = 714,108.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.