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Finding the Third Proportional to 108,905 and 163,402

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Solution

The third proportional to 108,905 and 163,402 is: 245,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,905 : 163,402 = 163,402 : x
  2. Step 2: Convert to fraction form
    108,905/163,402 = 163,402/x
  3. Step 3: Cross multiply
    108,905x = 163,402 × 163,402
  4. Step 4: Simplify right side
    108,905x = 26,700,213,604
  5. Step 5: Solve for x
    x = 26,700,213,604/108,905
  6. Step 6: Final answer
    x = 245,169.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.