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Finding the Third Proportional to 142,284 and 214,364

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Solution

The third proportional to 142,284 and 214,364 is: 322,959.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,284 : 214,364 = 214,364 : x
  2. Step 2: Convert to fraction form
    142,284/214,364 = 214,364/x
  3. Step 3: Cross multiply
    142,284x = 214,364 × 214,364
  4. Step 4: Simplify right side
    142,284x = 45,951,924,496
  5. Step 5: Solve for x
    x = 45,951,924,496/142,284
  6. Step 6: Final answer
    x = 322,959.18

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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.