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Finding the Third Proportional to 201,403 and 438,751

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Solution

The third proportional to 201,403 and 438,751 is: 955,807.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,403 : 438,751 = 438,751 : x
  2. Step 2: Convert to fraction form
    201,403/438,751 = 438,751/x
  3. Step 3: Cross multiply
    201,403x = 438,751 × 438,751
  4. Step 4: Simplify right side
    201,403x = 192,502,440,001
  5. Step 5: Solve for x
    x = 192,502,440,001/201,403
  6. Step 6: Final answer
    x = 955,807.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.