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Finding the Third Proportional to 74,267 and 156,310

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Solution

The third proportional to 74,267 and 156,310 is: 328,986.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,267 : 156,310 = 156,310 : x
  2. Step 2: Convert to fraction form
    74,267/156,310 = 156,310/x
  3. Step 3: Cross multiply
    74,267x = 156,310 × 156,310
  4. Step 4: Simplify right side
    74,267x = 24,432,816,100
  5. Step 5: Solve for x
    x = 24,432,816,100/74,267
  6. Step 6: Final answer
    x = 328,986.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.