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Finding the Third Proportional to 99,403 and 213,637

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Solution

The third proportional to 99,403 and 213,637 is: 459,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,403 : 213,637 = 213,637 : x
  2. Step 2: Convert to fraction form
    99,403/213,637 = 213,637/x
  3. Step 3: Cross multiply
    99,403x = 213,637 × 213,637
  4. Step 4: Simplify right side
    99,403x = 45,640,767,769
  5. Step 5: Solve for x
    x = 45,640,767,769/99,403
  6. Step 6: Final answer
    x = 459,148.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.