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Finding the Third Proportional to 222,088 and 291,582

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Solution

The third proportional to 222,088 and 291,582 is: 382,821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,088 : 291,582 = 291,582 : x
  2. Step 2: Convert to fraction form
    222,088/291,582 = 291,582/x
  3. Step 3: Cross multiply
    222,088x = 291,582 × 291,582
  4. Step 4: Simplify right side
    222,088x = 85,020,062,724
  5. Step 5: Solve for x
    x = 85,020,062,724/222,088
  6. Step 6: Final answer
    x = 382,821.51

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.