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Finding the Third Proportional to 257,002.66 and 556,908.12

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Solution

The third proportional to 257,002.66 and 556,908.12 is: 1,206,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,002.66 : 556,908.12 = 556,908.12 : x
  2. Step 2: Convert to fraction form
    257,002.66/556,908.12 = 556,908.12/x
  3. Step 3: Cross multiply
    257,002.66x = 556,908.12 × 556,908.12
  4. Step 4: Simplify right side
    257,002.66x = 310,146,650,989.33
  5. Step 5: Solve for x
    x = 310,146,650,989.33/257,002.66
  6. Step 6: Final answer
    x = 1,206,783.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.