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Finding the Third Proportional to 261,937 and 575,311

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Solution

The third proportional to 261,937 and 575,311 is: 1,263,596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,937 : 575,311 = 575,311 : x
  2. Step 2: Convert to fraction form
    261,937/575,311 = 575,311/x
  3. Step 3: Cross multiply
    261,937x = 575,311 × 575,311
  4. Step 4: Simplify right side
    261,937x = 330,982,746,721
  5. Step 5: Solve for x
    x = 330,982,746,721/261,937
  6. Step 6: Final answer
    x = 1,263,596.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.