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Finding the Third Proportional to 201,319 and 438,064

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Solution

The third proportional to 201,319 and 438,064 is: 953,213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,319 : 438,064 = 438,064 : x
  2. Step 2: Convert to fraction form
    201,319/438,064 = 438,064/x
  3. Step 3: Cross multiply
    201,319x = 438,064 × 438,064
  4. Step 4: Simplify right side
    201,319x = 191,900,068,096
  5. Step 5: Solve for x
    x = 191,900,068,096/201,319
  6. Step 6: Final answer
    x = 953,213.89

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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.