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Finding the Third Proportional to 256,598 and 369,620

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Solution

The third proportional to 256,598 and 369,620 is: 532,424.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,598 : 369,620 = 369,620 : x
  2. Step 2: Convert to fraction form
    256,598/369,620 = 369,620/x
  3. Step 3: Cross multiply
    256,598x = 369,620 × 369,620
  4. Step 4: Simplify right side
    256,598x = 136,618,944,400
  5. Step 5: Solve for x
    x = 136,618,944,400/256,598
  6. Step 6: Final answer
    x = 532,424.04

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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.