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Finding the Third Proportional to 69,546 and 142,397

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Solution

The third proportional to 69,546 and 142,397 is: 291,561.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,546 : 142,397 = 142,397 : x
  2. Step 2: Convert to fraction form
    69,546/142,397 = 142,397/x
  3. Step 3: Cross multiply
    69,546x = 142,397 × 142,397
  4. Step 4: Simplify right side
    69,546x = 20,276,905,609
  5. Step 5: Solve for x
    x = 20,276,905,609/69,546
  6. Step 6: Final answer
    x = 291,561.06

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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.