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Finding the Third Proportional to 89,047.69 and 130,654.69

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Solution

The third proportional to 89,047.69 and 130,654.69 is: 191,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,047.69 : 130,654.69 = 130,654.69 : x
  2. Step 2: Convert to fraction form
    89,047.69/130,654.69 = 130,654.69/x
  3. Step 3: Cross multiply
    89,047.69x = 130,654.69 × 130,654.69
  4. Step 4: Simplify right side
    89,047.69x = 17,070,647,365.72
  5. Step 5: Solve for x
    x = 17,070,647,365.72/89,047.69
  6. Step 6: Final answer
    x = 191,702.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.