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Finding the Third Proportional to 133,031 and 288,666

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Solution

The third proportional to 133,031 and 288,666 is: 626,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,031 : 288,666 = 288,666 : x
  2. Step 2: Convert to fraction form
    133,031/288,666 = 288,666/x
  3. Step 3: Cross multiply
    133,031x = 288,666 × 288,666
  4. Step 4: Simplify right side
    133,031x = 83,328,059,556
  5. Step 5: Solve for x
    x = 83,328,059,556/133,031
  6. Step 6: Final answer
    x = 626,380.77

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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.