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Finding the Third Proportional to 187,688 and 408,424

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Solution

The third proportional to 187,688 and 408,424 is: 888,763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,688 : 408,424 = 408,424 : x
  2. Step 2: Convert to fraction form
    187,688/408,424 = 408,424/x
  3. Step 3: Cross multiply
    187,688x = 408,424 × 408,424
  4. Step 4: Simplify right side
    187,688x = 166,810,163,776
  5. Step 5: Solve for x
    x = 166,810,163,776/187,688
  6. Step 6: Final answer
    x = 888,763.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.