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Finding the Third Proportional to 119,304 and 257,289

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Solution

The third proportional to 119,304 and 257,289 is: 554,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,304 : 257,289 = 257,289 : x
  2. Step 2: Convert to fraction form
    119,304/257,289 = 257,289/x
  3. Step 3: Cross multiply
    119,304x = 257,289 × 257,289
  4. Step 4: Simplify right side
    119,304x = 66,197,629,521
  5. Step 5: Solve for x
    x = 66,197,629,521/119,304
  6. Step 6: Final answer
    x = 554,865.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.