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Finding the Third Proportional to 71,298 and 153,124

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Solution

The third proportional to 71,298 and 153,124 is: 328,858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,298 : 153,124 = 153,124 : x
  2. Step 2: Convert to fraction form
    71,298/153,124 = 153,124/x
  3. Step 3: Cross multiply
    71,298x = 153,124 × 153,124
  4. Step 4: Simplify right side
    71,298x = 23,446,959,376
  5. Step 5: Solve for x
    x = 23,446,959,376/71,298
  6. Step 6: Final answer
    x = 328,858.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.