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Finding the Third Proportional to 148,323 and 318,246

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Solution

The third proportional to 148,323 and 318,246 is: 682,837.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,323 : 318,246 = 318,246 : x
  2. Step 2: Convert to fraction form
    148,323/318,246 = 318,246/x
  3. Step 3: Cross multiply
    148,323x = 318,246 × 318,246
  4. Step 4: Simplify right side
    148,323x = 101,280,516,516
  5. Step 5: Solve for x
    x = 101,280,516,516/148,323
  6. Step 6: Final answer
    x = 682,837.57

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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.