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Finding the Third Proportional to 80,388 and 121,402

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Solution

The third proportional to 80,388 and 121,402 is: 183,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,388 : 121,402 = 121,402 : x
  2. Step 2: Convert to fraction form
    80,388/121,402 = 121,402/x
  3. Step 3: Cross multiply
    80,388x = 121,402 × 121,402
  4. Step 4: Simplify right side
    80,388x = 14,738,445,604
  5. Step 5: Solve for x
    x = 14,738,445,604/80,388
  6. Step 6: Final answer
    x = 183,341.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.