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Finding the Third Proportional to 295,744 and 641,312

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Solution

The third proportional to 295,744 and 641,312 is: 1,390,665.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,744 : 641,312 = 641,312 : x
  2. Step 2: Convert to fraction form
    295,744/641,312 = 641,312/x
  3. Step 3: Cross multiply
    295,744x = 641,312 × 641,312
  4. Step 4: Simplify right side
    295,744x = 411,281,081,344
  5. Step 5: Solve for x
    x = 411,281,081,344/295,744
  6. Step 6: Final answer
    x = 1,390,665.85

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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.