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Finding the Third Proportional to 187,920 and 257,688

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Solution

The third proportional to 187,920 and 257,688 is: 353,358.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,920 : 257,688 = 257,688 : x
  2. Step 2: Convert to fraction form
    187,920/257,688 = 257,688/x
  3. Step 3: Cross multiply
    187,920x = 257,688 × 257,688
  4. Step 4: Simplify right side
    187,920x = 66,403,105,344
  5. Step 5: Solve for x
    x = 66,403,105,344/187,920
  6. Step 6: Final answer
    x = 353,358.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.