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Finding the Third Proportional to 256,532.06 and 399,007.69

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Solution

The third proportional to 256,532.06 and 399,007.69 is: 620,613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,532.06 : 399,007.69 = 399,007.69 : x
  2. Step 2: Convert to fraction form
    256,532.06/399,007.69 = 399,007.69/x
  3. Step 3: Cross multiply
    256,532.06x = 399,007.69 × 399,007.69
  4. Step 4: Simplify right side
    256,532.06x = 159,207,134,684.10
  5. Step 5: Solve for x
    x = 159,207,134,684.10/256,532.06
  6. Step 6: Final answer
    x = 620,613.01

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.