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Finding the Third Proportional to 119,298 and 257,277

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Solution

The third proportional to 119,298 and 257,277 is: 554,841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,298 : 257,277 = 257,277 : x
  2. Step 2: Convert to fraction form
    119,298/257,277 = 257,277/x
  3. Step 3: Cross multiply
    119,298x = 257,277 × 257,277
  4. Step 4: Simplify right side
    119,298x = 66,191,454,729
  5. Step 5: Solve for x
    x = 66,191,454,729/119,298
  6. Step 6: Final answer
    x = 554,841.28

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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.