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Finding the Third Proportional to 77,352 and 171,984

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Solution

The third proportional to 77,352 and 171,984 is: 382,388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,352 : 171,984 = 171,984 : x
  2. Step 2: Convert to fraction form
    77,352/171,984 = 171,984/x
  3. Step 3: Cross multiply
    77,352x = 171,984 × 171,984
  4. Step 4: Simplify right side
    77,352x = 29,578,496,256
  5. Step 5: Solve for x
    x = 29,578,496,256/77,352
  6. Step 6: Final answer
    x = 382,388.25

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.