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Finding the Third Proportional to 261,920 and 387,968

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Solution

The third proportional to 261,920 and 387,968 is: 574,676.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,920 : 387,968 = 387,968 : x
  2. Step 2: Convert to fraction form
    261,920/387,968 = 387,968/x
  3. Step 3: Cross multiply
    261,920x = 387,968 × 387,968
  4. Step 4: Simplify right side
    261,920x = 150,519,169,024
  5. Step 5: Solve for x
    x = 150,519,169,024/261,920
  6. Step 6: Final answer
    x = 574,676.12

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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.