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Finding the Third Proportional to 35,640 and 77,352

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Solution

The third proportional to 35,640 and 77,352 is: 167,882.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,640 : 77,352 = 77,352 : x
  2. Step 2: Convert to fraction form
    35,640/77,352 = 77,352/x
  3. Step 3: Cross multiply
    35,640x = 77,352 × 77,352
  4. Step 4: Simplify right side
    35,640x = 5,983,331,904
  5. Step 5: Solve for x
    x = 5,983,331,904/35,640
  6. Step 6: Final answer
    x = 167,882.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.