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Finding the Third Proportional to 77,502 and 169,530

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Solution

The third proportional to 77,502 and 169,530 is: 370,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,502 : 169,530 = 169,530 : x
  2. Step 2: Convert to fraction form
    77,502/169,530 = 169,530/x
  3. Step 3: Cross multiply
    77,502x = 169,530 × 169,530
  4. Step 4: Simplify right side
    77,502x = 28,740,420,900
  5. Step 5: Solve for x
    x = 28,740,420,900/77,502
  6. Step 6: Final answer
    x = 370,834.57

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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.