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Finding the Third Proportional to 233,420 and 257,480

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Solution

The third proportional to 233,420 and 257,480 is: 284,020.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,420 : 257,480 = 257,480 : x
  2. Step 2: Convert to fraction form
    233,420/257,480 = 257,480/x
  3. Step 3: Cross multiply
    233,420x = 257,480 × 257,480
  4. Step 4: Simplify right side
    233,420x = 66,295,950,400
  5. Step 5: Solve for x
    x = 66,295,950,400/233,420
  6. Step 6: Final answer
    x = 284,020.01

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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.