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Finding the Third Proportional to 133,023 and 288,651

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Solution

The third proportional to 133,023 and 288,651 is: 626,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,023 : 288,651 = 288,651 : x
  2. Step 2: Convert to fraction form
    133,023/288,651 = 288,651/x
  3. Step 3: Cross multiply
    133,023x = 288,651 × 288,651
  4. Step 4: Simplify right side
    133,023x = 83,319,399,801
  5. Step 5: Solve for x
    x = 83,319,399,801/133,023
  6. Step 6: Final answer
    x = 626,353.34

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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.