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Finding the Third Proportional to 63,803 and 139,878

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Solution

The third proportional to 63,803 and 139,878 is: 306,660.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,803 : 139,878 = 139,878 : x
  2. Step 2: Convert to fraction form
    63,803/139,878 = 139,878/x
  3. Step 3: Cross multiply
    63,803x = 139,878 × 139,878
  4. Step 4: Simplify right side
    63,803x = 19,565,854,884
  5. Step 5: Solve for x
    x = 19,565,854,884/63,803
  6. Step 6: Final answer
    x = 306,660.42

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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.