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Finding the Third Proportional to 42,408 and 88,318

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Solution

The third proportional to 42,408 and 88,318 is: 183,929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,408 : 88,318 = 88,318 : x
  2. Step 2: Convert to fraction form
    42,408/88,318 = 88,318/x
  3. Step 3: Cross multiply
    42,408x = 88,318 × 88,318
  4. Step 4: Simplify right side
    42,408x = 7,800,069,124
  5. Step 5: Solve for x
    x = 7,800,069,124/42,408
  6. Step 6: Final answer
    x = 183,929.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.