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Finding the Third Proportional to 78,359 and 169,840

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Solution

The third proportional to 78,359 and 169,840 is: 368,121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,359 : 169,840 = 169,840 : x
  2. Step 2: Convert to fraction form
    78,359/169,840 = 169,840/x
  3. Step 3: Cross multiply
    78,359x = 169,840 × 169,840
  4. Step 4: Simplify right side
    78,359x = 28,845,625,600
  5. Step 5: Solve for x
    x = 28,845,625,600/78,359
  6. Step 6: Final answer
    x = 368,121.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.