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Finding the Third Proportional to 69,324 and 141,924

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Solution

The third proportional to 69,324 and 141,924 is: 290,554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,324 : 141,924 = 141,924 : x
  2. Step 2: Convert to fraction form
    69,324/141,924 = 141,924/x
  3. Step 3: Cross multiply
    69,324x = 141,924 × 141,924
  4. Step 4: Simplify right side
    69,324x = 20,142,421,776
  5. Step 5: Solve for x
    x = 20,142,421,776/69,324
  6. Step 6: Final answer
    x = 290,554.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.