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Finding the Third Proportional to 74,265 and 156,306

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Solution

The third proportional to 74,265 and 156,306 is: 328,978.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,265 : 156,306 = 156,306 : x
  2. Step 2: Convert to fraction form
    74,265/156,306 = 156,306/x
  3. Step 3: Cross multiply
    74,265x = 156,306 × 156,306
  4. Step 4: Simplify right side
    74,265x = 24,431,565,636
  5. Step 5: Solve for x
    x = 24,431,565,636/74,265
  6. Step 6: Final answer
    x = 328,978.19

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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.