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Finding the Third Proportional to 271,656 and 578,352

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Solution

The third proportional to 271,656 and 578,352 is: 1,231,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,656 : 578,352 = 578,352 : x
  2. Step 2: Convert to fraction form
    271,656/578,352 = 578,352/x
  3. Step 3: Cross multiply
    271,656x = 578,352 × 578,352
  4. Step 4: Simplify right side
    271,656x = 334,491,035,904
  5. Step 5: Solve for x
    x = 334,491,035,904/271,656
  6. Step 6: Final answer
    x = 1,231,303.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.