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Finding the Third Proportional to 83,421 and 180,270

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Solution

The third proportional to 83,421 and 180,270 is: 389,557.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,421 : 180,270 = 180,270 : x
  2. Step 2: Convert to fraction form
    83,421/180,270 = 180,270/x
  3. Step 3: Cross multiply
    83,421x = 180,270 × 180,270
  4. Step 4: Simplify right side
    83,421x = 32,497,272,900
  5. Step 5: Solve for x
    x = 32,497,272,900/83,421
  6. Step 6: Final answer
    x = 389,557.46

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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.