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Finding the Third Proportional to 124,388 and 187,621

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Solution

The third proportional to 124,388 and 187,621 is: 282,998.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,388 : 187,621 = 187,621 : x
  2. Step 2: Convert to fraction form
    124,388/187,621 = 187,621/x
  3. Step 3: Cross multiply
    124,388x = 187,621 × 187,621
  4. Step 4: Simplify right side
    124,388x = 35,201,639,641
  5. Step 5: Solve for x
    x = 35,201,639,641/124,388
  6. Step 6: Final answer
    x = 282,998.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.