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Finding the Third Proportional to 261,927 and 387,980

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Solution

The third proportional to 261,927 and 387,980 is: 574,696.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,927 : 387,980 = 387,980 : x
  2. Step 2: Convert to fraction form
    261,927/387,980 = 387,980/x
  3. Step 3: Cross multiply
    261,927x = 387,980 × 387,980
  4. Step 4: Simplify right side
    261,927x = 150,528,480,400
  5. Step 5: Solve for x
    x = 150,528,480,400/261,927
  6. Step 6: Final answer
    x = 574,696.31

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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.