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Finding the Third Proportional to 79,553 and 171,559

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Solution

The third proportional to 79,553 and 171,559 is: 369,973.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,553 : 171,559 = 171,559 : x
  2. Step 2: Convert to fraction form
    79,553/171,559 = 171,559/x
  3. Step 3: Cross multiply
    79,553x = 171,559 × 171,559
  4. Step 4: Simplify right side
    79,553x = 29,432,490,481
  5. Step 5: Solve for x
    x = 29,432,490,481/79,553
  6. Step 6: Final answer
    x = 369,973.36

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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.