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Finding the Third Proportional to 63,417 and 136,989

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Solution

The third proportional to 63,417 and 136,989 is: 295,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,417 : 136,989 = 136,989 : x
  2. Step 2: Convert to fraction form
    63,417/136,989 = 136,989/x
  3. Step 3: Cross multiply
    63,417x = 136,989 × 136,989
  4. Step 4: Simplify right side
    63,417x = 18,765,986,121
  5. Step 5: Solve for x
    x = 18,765,986,121/63,417
  6. Step 6: Final answer
    x = 295,914.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.