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Finding the Third Proportional to 201,212.86 and 426,414.38

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Solution

The third proportional to 201,212.86 and 426,414.38 is: 903,666.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,212.86 : 426,414.38 = 426,414.38 : x
  2. Step 2: Convert to fraction form
    201,212.86/426,414.38 = 426,414.38/x
  3. Step 3: Cross multiply
    201,212.86x = 426,414.38 × 426,414.38
  4. Step 4: Simplify right side
    201,212.86x = 181,829,219,206.64
  5. Step 5: Solve for x
    x = 181,829,219,206.64/201,212.86
  6. Step 6: Final answer
    x = 903,666.00

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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.