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Finding the Third Proportional to 77,073.60 and 168,153.39

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Solution

The third proportional to 77,073.60 and 168,153.39 is: 366,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,073.60 : 168,153.39 = 168,153.39 : x
  2. Step 2: Convert to fraction form
    77,073.60/168,153.39 = 168,153.39/x
  3. Step 3: Cross multiply
    77,073.60x = 168,153.39 × 168,153.39
  4. Step 4: Simplify right side
    77,073.60x = 28,275,562,450.26
  5. Step 5: Solve for x
    x = 28,275,562,450.26/77,073.60
  6. Step 6: Final answer
    x = 366,864.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.