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Finding the Third Proportional to 67,840 and 147,352

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Solution

The third proportional to 67,840 and 147,352 is: 320,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,840 : 147,352 = 147,352 : x
  2. Step 2: Convert to fraction form
    67,840/147,352 = 147,352/x
  3. Step 3: Cross multiply
    67,840x = 147,352 × 147,352
  4. Step 4: Simplify right side
    67,840x = 21,712,611,904
  5. Step 5: Solve for x
    x = 21,712,611,904/67,840
  6. Step 6: Final answer
    x = 320,056.19

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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.