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Finding the Third Proportional to 201,098 and 425,524

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Solution

The third proportional to 201,098 and 425,524 is: 900,410.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,098 : 425,524 = 425,524 : x
  2. Step 2: Convert to fraction form
    201,098/425,524 = 425,524/x
  3. Step 3: Cross multiply
    201,098x = 425,524 × 425,524
  4. Step 4: Simplify right side
    201,098x = 181,070,674,576
  5. Step 5: Solve for x
    x = 181,070,674,576/201,098
  6. Step 6: Final answer
    x = 900,410.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.