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Finding the Third Proportional to 687,767 and 1,508,395

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Solution

The third proportional to 687,767 and 1,508,395 is: 3,308,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,767 : 1,508,395 = 1,508,395 : x
  2. Step 2: Convert to fraction form
    687,767/1,508,395 = 1,508,395/x
  3. Step 3: Cross multiply
    687,767x = 1,508,395 × 1,508,395
  4. Step 4: Simplify right side
    687,767x = 2,275,255,476,025
  5. Step 5: Solve for x
    x = 2,275,255,476,025/687,767
  6. Step 6: Final answer
    x = 3,308,177.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.