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Finding the Third Proportional to 35,640 and 77,922

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Solution

The third proportional to 35,640 and 77,922 is: 170,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,640 : 77,922 = 77,922 : x
  2. Step 2: Convert to fraction form
    35,640/77,922 = 77,922/x
  3. Step 3: Cross multiply
    35,640x = 77,922 × 77,922
  4. Step 4: Simplify right side
    35,640x = 6,071,838,084
  5. Step 5: Solve for x
    x = 6,071,838,084/35,640
  6. Step 6: Final answer
    x = 170,365.83

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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.