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Finding the Third Proportional to 221,840 and 487,924

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Solution

The third proportional to 221,840 and 487,924 is: 1,073,160.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,840 : 487,924 = 487,924 : x
  2. Step 2: Convert to fraction form
    221,840/487,924 = 487,924/x
  3. Step 3: Cross multiply
    221,840x = 487,924 × 487,924
  4. Step 4: Simplify right side
    221,840x = 238,069,829,776
  5. Step 5: Solve for x
    x = 238,069,829,776/221,840
  6. Step 6: Final answer
    x = 1,073,160.07

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