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Finding the Third Proportional to 221,987 and 347,862

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Solution

The third proportional to 221,987 and 347,862 is: 545,112.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,987 : 347,862 = 347,862 : x
  2. Step 2: Convert to fraction form
    221,987/347,862 = 347,862/x
  3. Step 3: Cross multiply
    221,987x = 347,862 × 347,862
  4. Step 4: Simplify right side
    221,987x = 121,007,971,044
  5. Step 5: Solve for x
    x = 121,007,971,044/221,987
  6. Step 6: Final answer
    x = 545,112.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.