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Finding the Third Proportional to 90,730.13 and 199,573.88

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Solution

The third proportional to 90,730.13 and 199,573.88 is: 438,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,730.13 : 199,573.88 = 199,573.88 : x
  2. Step 2: Convert to fraction form
    90,730.13/199,573.88 = 199,573.88/x
  3. Step 3: Cross multiply
    90,730.13x = 199,573.88 × 199,573.88
  4. Step 4: Simplify right side
    90,730.13x = 39,829,731,582.52
  5. Step 5: Solve for x
    x = 39,829,731,582.52/90,730.13
  6. Step 6: Final answer
    x = 438,991.26

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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.