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Finding the Third Proportional to 254,650 and 539,656

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Solution

The third proportional to 254,650 and 539,656 is: 1,143,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,650 : 539,656 = 539,656 : x
  2. Step 2: Convert to fraction form
    254,650/539,656 = 539,656/x
  3. Step 3: Cross multiply
    254,650x = 539,656 × 539,656
  4. Step 4: Simplify right side
    254,650x = 291,228,598,336
  5. Step 5: Solve for x
    x = 291,228,598,336/254,650
  6. Step 6: Final answer
    x = 1,143,642.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.