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Finding the Third Proportional to 257,974 and 371,578

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Solution

The third proportional to 257,974 and 371,578 is: 535,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,974 : 371,578 = 371,578 : x
  2. Step 2: Convert to fraction form
    257,974/371,578 = 371,578/x
  3. Step 3: Cross multiply
    257,974x = 371,578 × 371,578
  4. Step 4: Simplify right side
    257,974x = 138,070,210,084
  5. Step 5: Solve for x
    x = 138,070,210,084/257,974
  6. Step 6: Final answer
    x = 535,209.79

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.