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Finding the Third Proportional to 201,572 and 291,381

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Solution

The third proportional to 201,572 and 291,381 is: 421,203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,572 : 291,381 = 291,381 : x
  2. Step 2: Convert to fraction form
    201,572/291,381 = 291,381/x
  3. Step 3: Cross multiply
    201,572x = 291,381 × 291,381
  4. Step 4: Simplify right side
    201,572x = 84,902,887,161
  5. Step 5: Solve for x
    x = 84,902,887,161/201,572
  6. Step 6: Final answer
    x = 421,203.77

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.