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Finding the Third Proportional to 201,427 and 291,297

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Solution

The third proportional to 201,427 and 291,297 is: 421,263.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,427 : 291,297 = 291,297 : x
  2. Step 2: Convert to fraction form
    201,427/291,297 = 291,297/x
  3. Step 3: Cross multiply
    201,427x = 291,297 × 291,297
  4. Step 4: Simplify right side
    201,427x = 84,853,942,209
  5. Step 5: Solve for x
    x = 84,853,942,209/201,427
  6. Step 6: Final answer
    x = 421,263.99

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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.