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Finding the Third Proportional to 35,906 and 78,340

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Solution

The third proportional to 35,906 and 78,340 is: 170,922.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,906 : 78,340 = 78,340 : x
  2. Step 2: Convert to fraction form
    35,906/78,340 = 78,340/x
  3. Step 3: Cross multiply
    35,906x = 78,340 × 78,340
  4. Step 4: Simplify right side
    35,906x = 6,137,155,600
  5. Step 5: Solve for x
    x = 6,137,155,600/35,906
  6. Step 6: Final answer
    x = 170,922.84

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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.