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Finding the Third Proportional to 233,418 and 257,478

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Solution

The third proportional to 233,418 and 257,478 is: 284,018.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,418 : 257,478 = 257,478 : x
  2. Step 2: Convert to fraction form
    233,418/257,478 = 257,478/x
  3. Step 3: Cross multiply
    233,418x = 257,478 × 257,478
  4. Step 4: Simplify right side
    233,418x = 66,294,920,484
  5. Step 5: Solve for x
    x = 66,294,920,484/233,418
  6. Step 6: Final answer
    x = 284,018.03

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.