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Finding the Third Proportional to 118,330.88 and 258,346.13

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Solution

The third proportional to 118,330.88 and 258,346.13 is: 564,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,330.88 : 258,346.13 = 258,346.13 : x
  2. Step 2: Convert to fraction form
    118,330.88/258,346.13 = 258,346.13/x
  3. Step 3: Cross multiply
    118,330.88x = 258,346.13 × 258,346.13
  4. Step 4: Simplify right side
    118,330.88x = 66,742,720,302.52
  5. Step 5: Solve for x
    x = 66,742,720,302.52/118,330.88
  6. Step 6: Final answer
    x = 564,034.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.