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Finding the Third Proportional to 201,217 and 426,417

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Solution

The third proportional to 201,217 and 426,417 is: 903,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,217 : 426,417 = 426,417 : x
  2. Step 2: Convert to fraction form
    201,217/426,417 = 426,417/x
  3. Step 3: Cross multiply
    201,217x = 426,417 × 426,417
  4. Step 4: Simplify right side
    201,217x = 181,831,457,889
  5. Step 5: Solve for x
    x = 181,831,457,889/201,217
  6. Step 6: Final answer
    x = 903,658.53

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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.