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Finding the Third Proportional to 687,272.34 and 1,510,039.97

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Solution

The third proportional to 687,272.34 and 1,510,039.97 is: 3,317,783.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,272.34 : 1,510,039.97 = 1,510,039.97 : x
  2. Step 2: Convert to fraction form
    687,272.34/1,510,039.97 = 1,510,039.97/x
  3. Step 3: Cross multiply
    687,272.34x = 1,510,039.97 × 1,510,039.97
  4. Step 4: Simplify right side
    687,272.34x = 2,280,220,707,222.50
  5. Step 5: Solve for x
    x = 2,280,220,707,222.50/687,272.34
  6. Step 6: Final answer
    x = 3,317,783.30

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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.