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Finding the Third Proportional to 305,468 and 658,246

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Solution

The third proportional to 305,468 and 658,246 is: 1,418,439.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,468 : 658,246 = 658,246 : x
  2. Step 2: Convert to fraction form
    305,468/658,246 = 658,246/x
  3. Step 3: Cross multiply
    305,468x = 658,246 × 658,246
  4. Step 4: Simplify right side
    305,468x = 433,287,796,516
  5. Step 5: Solve for x
    x = 433,287,796,516/305,468
  6. Step 6: Final answer
    x = 1,418,439.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.