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Finding the Third Proportional to 546,192 and 1,188,246

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Solution

The third proportional to 546,192 and 1,188,246 is: 2,585,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,192 : 1,188,246 = 1,188,246 : x
  2. Step 2: Convert to fraction form
    546,192/1,188,246 = 1,188,246/x
  3. Step 3: Cross multiply
    546,192x = 1,188,246 × 1,188,246
  4. Step 4: Simplify right side
    546,192x = 1,411,928,556,516
  5. Step 5: Solve for x
    x = 1,411,928,556,516/546,192
  6. Step 6: Final answer
    x = 2,585,040.71

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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.