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Finding the Third Proportional to 315,981 and 676,248.75

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Solution

The third proportional to 315,981 and 676,248.75 is: 1,447,278.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,981 : 676,248.75 = 676,248.75 : x
  2. Step 2: Convert to fraction form
    315,981/676,248.75 = 676,248.75/x
  3. Step 3: Cross multiply
    315,981x = 676,248.75 × 676,248.75
  4. Step 4: Simplify right side
    315,981x = 457,312,371,876.56
  5. Step 5: Solve for x
    x = 457,312,371,876.56/315,981
  6. Step 6: Final answer
    x = 1,447,278.07

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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.