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Finding the Third Proportional to 77,243 and 169,246

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Solution

The third proportional to 77,243 and 169,246 is: 370,832.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,243 : 169,246 = 169,246 : x
  2. Step 2: Convert to fraction form
    77,243/169,246 = 169,246/x
  3. Step 3: Cross multiply
    77,243x = 169,246 × 169,246
  4. Step 4: Simplify right side
    77,243x = 28,644,208,516
  5. Step 5: Solve for x
    x = 28,644,208,516/77,243
  6. Step 6: Final answer
    x = 370,832.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.