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Finding the Third Proportional to 257,310 and 382,222.13

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Solution

The third proportional to 257,310 and 382,222.13 is: 567,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,310 : 382,222.13 = 382,222.13 : x
  2. Step 2: Convert to fraction form
    257,310/382,222.13 = 382,222.13/x
  3. Step 3: Cross multiply
    257,310x = 382,222.13 × 382,222.13
  4. Step 4: Simplify right side
    257,310x = 146,093,752,839.52
  5. Step 5: Solve for x
    x = 146,093,752,839.52/257,310
  6. Step 6: Final answer
    x = 567,773.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.