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Finding the Third Proportional to 93,680 and 144,408

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Solution

The third proportional to 93,680 and 144,408 is: 222,605.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,680 : 144,408 = 144,408 : x
  2. Step 2: Convert to fraction form
    93,680/144,408 = 144,408/x
  3. Step 3: Cross multiply
    93,680x = 144,408 × 144,408
  4. Step 4: Simplify right side
    93,680x = 20,853,670,464
  5. Step 5: Solve for x
    x = 20,853,670,464/93,680
  6. Step 6: Final answer
    x = 222,605.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.