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Finding the Third Proportional to 295,715.81 and 641,250.42

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Solution

The third proportional to 295,715.81 and 641,250.42 is: 1,390,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,715.81 : 641,250.42 = 641,250.42 : x
  2. Step 2: Convert to fraction form
    295,715.81/641,250.42 = 641,250.42/x
  3. Step 3: Cross multiply
    295,715.81x = 641,250.42 × 641,250.42
  4. Step 4: Simplify right side
    295,715.81x = 411,202,103,554.87
  5. Step 5: Solve for x
    x = 411,202,103,554.87/295,715.81
  6. Step 6: Final answer
    x = 1,390,531.34

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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.