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Finding the Third Proportional to 257,565.94 and 378,631.13

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Solution

The third proportional to 257,565.94 and 378,631.13 is: 556,601.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,565.94 : 378,631.13 = 378,631.13 : x
  2. Step 2: Convert to fraction form
    257,565.94/378,631.13 = 378,631.13/x
  3. Step 3: Cross multiply
    257,565.94x = 378,631.13 × 378,631.13
  4. Step 4: Simplify right side
    257,565.94x = 143,361,528,818.77
  5. Step 5: Solve for x
    x = 143,361,528,818.77/257,565.94
  6. Step 6: Final answer
    x = 556,601.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.