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Finding the Third Proportional to 257,154.75 and 285,859.13

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Solution

The third proportional to 257,154.75 and 285,859.13 is: 317,767.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,154.75 : 285,859.13 = 285,859.13 : x
  2. Step 2: Convert to fraction form
    257,154.75/285,859.13 = 285,859.13/x
  3. Step 3: Cross multiply
    257,154.75x = 285,859.13 × 285,859.13
  4. Step 4: Simplify right side
    257,154.75x = 81,715,439,345.77
  5. Step 5: Solve for x
    x = 81,715,439,345.77/257,154.75
  6. Step 6: Final answer
    x = 317,767.57

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.