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Finding the Third Proportional to 95,746.50 and 208,284.75

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Solution

The third proportional to 95,746.50 and 208,284.75 is: 453,097.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,746.50 : 208,284.75 = 208,284.75 : x
  2. Step 2: Convert to fraction form
    95,746.50/208,284.75 = 208,284.75/x
  3. Step 3: Cross multiply
    95,746.50x = 208,284.75 × 208,284.75
  4. Step 4: Simplify right side
    95,746.50x = 43,382,537,082.56
  5. Step 5: Solve for x
    x = 43,382,537,082.56/95,746.50
  6. Step 6: Final answer
    x = 453,097.89

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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.