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Finding the Third Proportional to 256,597.88 and 369,619.88

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Solution

The third proportional to 256,597.88 and 369,619.88 is: 532,423.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,597.88 : 369,619.88 = 369,619.88 : x
  2. Step 2: Convert to fraction form
    256,597.88/369,619.88 = 369,619.88/x
  3. Step 3: Cross multiply
    256,597.88x = 369,619.88 × 369,619.88
  4. Step 4: Simplify right side
    256,597.88x = 136,618,851,995.02
  5. Step 5: Solve for x
    x = 136,618,851,995.02/256,597.88
  6. Step 6: Final answer
    x = 532,423.94

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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.