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Finding the Third Proportional to 254,724 and 392,779

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Solution

The third proportional to 254,724 and 392,779 is: 605,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,724 : 392,779 = 392,779 : x
  2. Step 2: Convert to fraction form
    254,724/392,779 = 392,779/x
  3. Step 3: Cross multiply
    254,724x = 392,779 × 392,779
  4. Step 4: Simplify right side
    254,724x = 154,275,342,841
  5. Step 5: Solve for x
    x = 154,275,342,841/254,724
  6. Step 6: Final answer
    x = 605,656.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.