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Finding the Third Proportional to 77,521 and 167,435

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Solution

The third proportional to 77,521 and 167,435 is: 361,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,521 : 167,435 = 167,435 : x
  2. Step 2: Convert to fraction form
    77,521/167,435 = 167,435/x
  3. Step 3: Cross multiply
    77,521x = 167,435 × 167,435
  4. Step 4: Simplify right side
    77,521x = 28,034,479,225
  5. Step 5: Solve for x
    x = 28,034,479,225/77,521
  6. Step 6: Final answer
    x = 361,637.22

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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.