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Finding the Third Proportional to 77,269 and 169,301

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Solution

The third proportional to 77,269 and 169,301 is: 370,948.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,269 : 169,301 = 169,301 : x
  2. Step 2: Convert to fraction form
    77,269/169,301 = 169,301/x
  3. Step 3: Cross multiply
    77,269x = 169,301 × 169,301
  4. Step 4: Simplify right side
    77,269x = 28,662,828,601
  5. Step 5: Solve for x
    x = 28,662,828,601/77,269
  6. Step 6: Final answer
    x = 370,948.62

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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.