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Finding the Third Proportional to 68,000 and 147,298

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Solution

The third proportional to 68,000 and 147,298 is: 319,069.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,000 : 147,298 = 147,298 : x
  2. Step 2: Convert to fraction form
    68,000/147,298 = 147,298/x
  3. Step 3: Cross multiply
    68,000x = 147,298 × 147,298
  4. Step 4: Simplify right side
    68,000x = 21,696,700,804
  5. Step 5: Solve for x
    x = 21,696,700,804/68,000
  6. Step 6: Final answer
    x = 319,069.13

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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.