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Finding the Third Proportional to 201,718 and 438,919

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Solution

The third proportional to 201,718 and 438,919 is: 955,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,718 : 438,919 = 438,919 : x
  2. Step 2: Convert to fraction form
    201,718/438,919 = 438,919/x
  3. Step 3: Cross multiply
    201,718x = 438,919 × 438,919
  4. Step 4: Simplify right side
    201,718x = 192,649,888,561
  5. Step 5: Solve for x
    x = 192,649,888,561/201,718
  6. Step 6: Final answer
    x = 955,045.60

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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.