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Finding the Third Proportional to 117,432 and 258,660

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Solution

The third proportional to 117,432 and 258,660 is: 569,733.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,432 : 258,660 = 258,660 : x
  2. Step 2: Convert to fraction form
    117,432/258,660 = 258,660/x
  3. Step 3: Cross multiply
    117,432x = 258,660 × 258,660
  4. Step 4: Simplify right side
    117,432x = 66,904,995,600
  5. Step 5: Solve for x
    x = 66,904,995,600/117,432
  6. Step 6: Final answer
    x = 569,733.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.