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Finding the Third Proportional to 69,417 and 148,878

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Solution

The third proportional to 69,417 and 148,878 is: 319,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,417 : 148,878 = 148,878 : x
  2. Step 2: Convert to fraction form
    69,417/148,878 = 148,878/x
  3. Step 3: Cross multiply
    69,417x = 148,878 × 148,878
  4. Step 4: Simplify right side
    69,417x = 22,164,658,884
  5. Step 5: Solve for x
    x = 22,164,658,884/69,417
  6. Step 6: Final answer
    x = 319,297.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.