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Finding the Third Proportional to 75,856 and 163,340

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Solution

The third proportional to 75,856 and 163,340 is: 351,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,856 : 163,340 = 163,340 : x
  2. Step 2: Convert to fraction form
    75,856/163,340 = 163,340/x
  3. Step 3: Cross multiply
    75,856x = 163,340 × 163,340
  4. Step 4: Simplify right side
    75,856x = 26,679,955,600
  5. Step 5: Solve for x
    x = 26,679,955,600/75,856
  6. Step 6: Final answer
    x = 351,718.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.