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Finding the Third Proportional to 159,000 and 222,840

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Solution

The third proportional to 159,000 and 222,840 is: 312,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,000 : 222,840 = 222,840 : x
  2. Step 2: Convert to fraction form
    159,000/222,840 = 222,840/x
  3. Step 3: Cross multiply
    159,000x = 222,840 × 222,840
  4. Step 4: Simplify right side
    159,000x = 49,657,665,600
  5. Step 5: Solve for x
    x = 49,657,665,600/159,000
  6. Step 6: Final answer
    x = 312,312.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.