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Finding the Third Proportional to 105,730.13 and 232,489.13

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Solution

The third proportional to 105,730.13 and 232,489.13 is: 511,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,730.13 : 232,489.13 = 232,489.13 : x
  2. Step 2: Convert to fraction form
    105,730.13/232,489.13 = 232,489.13/x
  3. Step 3: Cross multiply
    105,730.13x = 232,489.13 × 232,489.13
  4. Step 4: Simplify right side
    105,730.13x = 54,051,193,243.27
  5. Step 5: Solve for x
    x = 54,051,193,243.27/105,730.13
  6. Step 6: Final answer
    x = 511,218.47

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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.