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Finding the Third Proportional to 90,730.13 and 196,989.47

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Solution

The third proportional to 90,730.13 and 196,989.47 is: 427,695.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,730.13 : 196,989.47 = 196,989.47 : x
  2. Step 2: Convert to fraction form
    90,730.13/196,989.47 = 196,989.47/x
  3. Step 3: Cross multiply
    90,730.13x = 196,989.47 × 196,989.47
  4. Step 4: Simplify right side
    90,730.13x = 38,804,850,798.41
  5. Step 5: Solve for x
    x = 38,804,850,798.41/90,730.13
  6. Step 6: Final answer
    x = 427,695.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.