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Finding the Third Proportional to 119,428 and 257,504

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Solution

The third proportional to 119,428 and 257,504 is: 555,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,428 : 257,504 = 257,504 : x
  2. Step 2: Convert to fraction form
    119,428/257,504 = 257,504/x
  3. Step 3: Cross multiply
    119,428x = 257,504 × 257,504
  4. Step 4: Simplify right side
    119,428x = 66,308,310,016
  5. Step 5: Solve for x
    x = 66,308,310,016/119,428
  6. Step 6: Final answer
    x = 555,215.78

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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.