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Finding the Third Proportional to 77,287 and 162,875

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Solution

The third proportional to 77,287 and 162,875 is: 343,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,287 : 162,875 = 162,875 : x
  2. Step 2: Convert to fraction form
    77,287/162,875 = 162,875/x
  3. Step 3: Cross multiply
    77,287x = 162,875 × 162,875
  4. Step 4: Simplify right side
    77,287x = 26,528,265,625
  5. Step 5: Solve for x
    x = 26,528,265,625/77,287
  6. Step 6: Final answer
    x = 343,243.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.