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Finding the Third Proportional to 184,484 and 278,420

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Solution

The third proportional to 184,484 and 278,420 is: 420,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,484 : 278,420 = 278,420 : x
  2. Step 2: Convert to fraction form
    184,484/278,420 = 278,420/x
  3. Step 3: Cross multiply
    184,484x = 278,420 × 278,420
  4. Step 4: Simplify right side
    184,484x = 77,517,696,400
  5. Step 5: Solve for x
    x = 77,517,696,400/184,484
  6. Step 6: Final answer
    x = 420,186.55

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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.