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Finding the Third Proportional to 248,656 and 542,858

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Solution

The third proportional to 248,656 and 542,858 is: 1,185,150.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,656 : 542,858 = 542,858 : x
  2. Step 2: Convert to fraction form
    248,656/542,858 = 542,858/x
  3. Step 3: Cross multiply
    248,656x = 542,858 × 542,858
  4. Step 4: Simplify right side
    248,656x = 294,694,808,164
  5. Step 5: Solve for x
    x = 294,694,808,164/248,656
  6. Step 6: Final answer
    x = 1,185,150.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.