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Finding the Third Proportional to 133,023 and 287,145

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Solution

The third proportional to 133,023 and 287,145 is: 619,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,023 : 287,145 = 287,145 : x
  2. Step 2: Convert to fraction form
    133,023/287,145 = 287,145/x
  3. Step 3: Cross multiply
    133,023x = 287,145 × 287,145
  4. Step 4: Simplify right side
    133,023x = 82,452,251,025
  5. Step 5: Solve for x
    x = 82,452,251,025/133,023
  6. Step 6: Final answer
    x = 619,834.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.