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Finding the Third Proportional to 103,637 and 221,494

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Solution

The third proportional to 103,637 and 221,494 is: 473,379.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,637 : 221,494 = 221,494 : x
  2. Step 2: Convert to fraction form
    103,637/221,494 = 221,494/x
  3. Step 3: Cross multiply
    103,637x = 221,494 × 221,494
  4. Step 4: Simplify right side
    103,637x = 49,059,592,036
  5. Step 5: Solve for x
    x = 49,059,592,036/103,637
  6. Step 6: Final answer
    x = 473,379.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.