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Finding the Third Proportional to 274,400 and 556,432

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Solution

The third proportional to 274,400 and 556,432 is: 1,128,340.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,400 : 556,432 = 556,432 : x
  2. Step 2: Convert to fraction form
    274,400/556,432 = 556,432/x
  3. Step 3: Cross multiply
    274,400x = 556,432 × 556,432
  4. Step 4: Simplify right side
    274,400x = 309,616,570,624
  5. Step 5: Solve for x
    x = 309,616,570,624/274,400
  6. Step 6: Final answer
    x = 1,128,340.27

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.