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Finding the Third Proportional to 180,031.50 and 289,998

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Solution

The third proportional to 180,031.50 and 289,998 is: 467,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,031.50 : 289,998 = 289,998 : x
  2. Step 2: Convert to fraction form
    180,031.50/289,998 = 289,998/x
  3. Step 3: Cross multiply
    180,031.50x = 289,998 × 289,998
  4. Step 4: Simplify right side
    180,031.50x = 84,098,840,004
  5. Step 5: Solve for x
    x = 84,098,840,004/180,031.50
  6. Step 6: Final answer
    x = 467,134.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.