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Finding the Third Proportional to 221,990.63 and 488,265.47

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Solution

The third proportional to 221,990.63 and 488,265.47 is: 1,073,933.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,990.63 : 488,265.47 = 488,265.47 : x
  2. Step 2: Convert to fraction form
    221,990.63/488,265.47 = 488,265.47/x
  3. Step 3: Cross multiply
    221,990.63x = 488,265.47 × 488,265.47
  4. Step 4: Simplify right side
    221,990.63x = 238,403,167,973.66
  5. Step 5: Solve for x
    x = 238,403,167,973.66/221,990.63
  6. Step 6: Final answer
    x = 1,073,933.50

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Why These Related Problems?

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