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Finding the Third Proportional to 201,407 and 438,764

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Solution

The third proportional to 201,407 and 438,764 is: 955,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,407 : 438,764 = 438,764 : x
  2. Step 2: Convert to fraction form
    201,407/438,764 = 438,764/x
  3. Step 3: Cross multiply
    201,407x = 438,764 × 438,764
  4. Step 4: Simplify right side
    201,407x = 192,513,847,696
  5. Step 5: Solve for x
    x = 192,513,847,696/201,407
  6. Step 6: Final answer
    x = 955,844.87

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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.