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Finding the Third Proportional to 75,310 and 156,858

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Solution

The third proportional to 75,310 and 156,858 is: 326,708.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,310 : 156,858 = 156,858 : x
  2. Step 2: Convert to fraction form
    75,310/156,858 = 156,858/x
  3. Step 3: Cross multiply
    75,310x = 156,858 × 156,858
  4. Step 4: Simplify right side
    75,310x = 24,604,432,164
  5. Step 5: Solve for x
    x = 24,604,432,164/75,310
  6. Step 6: Final answer
    x = 326,708.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.