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Finding the Third Proportional to 222,090 and 291,585

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Solution

The third proportional to 222,090 and 291,585 is: 382,825.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,090 : 291,585 = 291,585 : x
  2. Step 2: Convert to fraction form
    222,090/291,585 = 291,585/x
  3. Step 3: Cross multiply
    222,090x = 291,585 × 291,585
  4. Step 4: Simplify right side
    222,090x = 85,021,812,225
  5. Step 5: Solve for x
    x = 85,021,812,225/222,090
  6. Step 6: Final answer
    x = 382,825.94

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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.