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Finding the Third Proportional to 184,490 and 278,431

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Solution

The third proportional to 184,490 and 278,431 is: 420,206.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,490 : 278,431 = 278,431 : x
  2. Step 2: Convert to fraction form
    184,490/278,431 = 278,431/x
  3. Step 3: Cross multiply
    184,490x = 278,431 × 278,431
  4. Step 4: Simplify right side
    184,490x = 77,523,821,761
  5. Step 5: Solve for x
    x = 77,523,821,761/184,490
  6. Step 6: Final answer
    x = 420,206.09

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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.