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Finding the Third Proportional to 261,905.91 and 387,949.50

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Solution

The third proportional to 261,905.91 and 387,949.50 is: 574,652.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,905.91 : 387,949.50 = 387,949.50 : x
  2. Step 2: Convert to fraction form
    261,905.91/387,949.50 = 387,949.50/x
  3. Step 3: Cross multiply
    261,905.91x = 387,949.50 × 387,949.50
  4. Step 4: Simplify right side
    261,905.91x = 150,504,814,550.25
  5. Step 5: Solve for x
    x = 150,504,814,550.25/261,905.91
  6. Step 6: Final answer
    x = 574,652.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.