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Finding the Third Proportional to 687,015 and 1,513,512

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Solution

The third proportional to 687,015 and 1,513,512 is: 3,334,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,015 : 1,513,512 = 1,513,512 : x
  2. Step 2: Convert to fraction form
    687,015/1,513,512 = 1,513,512/x
  3. Step 3: Cross multiply
    687,015x = 1,513,512 × 1,513,512
  4. Step 4: Simplify right side
    687,015x = 2,290,718,574,144
  5. Step 5: Solve for x
    x = 2,290,718,574,144/687,015
  6. Step 6: Final answer
    x = 3,334,306.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.