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Finding the Third Proportional to 77,283 and 169,329

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Solution

The third proportional to 77,283 and 169,329 is: 371,004.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,283 : 169,329 = 169,329 : x
  2. Step 2: Convert to fraction form
    77,283/169,329 = 169,329/x
  3. Step 3: Cross multiply
    77,283x = 169,329 × 169,329
  4. Step 4: Simplify right side
    77,283x = 28,672,310,241
  5. Step 5: Solve for x
    x = 28,672,310,241/77,283
  6. Step 6: Final answer
    x = 371,004.10

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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.