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Finding the Third Proportional to 142,278 and 214,355.25

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Solution

The third proportional to 142,278 and 214,355.25 is: 322,946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,278 : 214,355.25 = 214,355.25 : x
  2. Step 2: Convert to fraction form
    142,278/214,355.25 = 214,355.25/x
  3. Step 3: Cross multiply
    142,278x = 214,355.25 × 214,355.25
  4. Step 4: Simplify right side
    142,278x = 45,948,173,202.56
  5. Step 5: Solve for x
    x = 45,948,173,202.56/142,278
  6. Step 6: Final answer
    x = 322,946.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.