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Finding the Third Proportional to 148,246 and 317,403

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Solution

The third proportional to 148,246 and 317,403 is: 679,577.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,246 : 317,403 = 317,403 : x
  2. Step 2: Convert to fraction form
    148,246/317,403 = 317,403/x
  3. Step 3: Cross multiply
    148,246x = 317,403 × 317,403
  4. Step 4: Simplify right side
    148,246x = 100,744,664,409
  5. Step 5: Solve for x
    x = 100,744,664,409/148,246
  6. Step 6: Final answer
    x = 679,577.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.