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Finding the Third Proportional to 201,402 and 428,292

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Solution

The third proportional to 201,402 and 428,292 is: 910,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,402 : 428,292 = 428,292 : x
  2. Step 2: Convert to fraction form
    201,402/428,292 = 428,292/x
  3. Step 3: Cross multiply
    201,402x = 428,292 × 428,292
  4. Step 4: Simplify right side
    201,402x = 183,434,037,264
  5. Step 5: Solve for x
    x = 183,434,037,264/201,402
  6. Step 6: Final answer
    x = 910,785.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.