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Finding the Third Proportional to 74,259 and 156,798

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Solution

The third proportional to 74,259 and 156,798 is: 331,079.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,259 : 156,798 = 156,798 : x
  2. Step 2: Convert to fraction form
    74,259/156,798 = 156,798/x
  3. Step 3: Cross multiply
    74,259x = 156,798 × 156,798
  4. Step 4: Simplify right side
    74,259x = 24,585,612,804
  5. Step 5: Solve for x
    x = 24,585,612,804/74,259
  6. Step 6: Final answer
    x = 331,079.23

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.