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Finding the Third Proportional to 257,856 and 391,968

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Solution

The third proportional to 257,856 and 391,968 is: 595,832.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,856 : 391,968 = 391,968 : x
  2. Step 2: Convert to fraction form
    257,856/391,968 = 391,968/x
  3. Step 3: Cross multiply
    257,856x = 391,968 × 391,968
  4. Step 4: Simplify right side
    257,856x = 153,638,913,024
  5. Step 5: Solve for x
    x = 153,638,913,024/257,856
  6. Step 6: Final answer
    x = 595,832.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.