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Finding the Third Proportional to 256,597.88 and 402,519.38

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Solution

The third proportional to 256,597.88 and 402,519.38 is: 631,423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,597.88 : 402,519.38 = 402,519.38 : x
  2. Step 2: Convert to fraction form
    256,597.88/402,519.38 = 402,519.38/x
  3. Step 3: Cross multiply
    256,597.88x = 402,519.38 × 402,519.38
  4. Step 4: Simplify right side
    256,597.88x = 162,021,847,250.39
  5. Step 5: Solve for x
    x = 162,021,847,250.39/256,597.88
  6. Step 6: Final answer
    x = 631,423.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.