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Finding the Third Proportional to 217,440 and 440,723

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Solution

The third proportional to 217,440 and 440,723 is: 893,289.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,440 : 440,723 = 440,723 : x
  2. Step 2: Convert to fraction form
    217,440/440,723 = 440,723/x
  3. Step 3: Cross multiply
    217,440x = 440,723 × 440,723
  4. Step 4: Simplify right side
    217,440x = 194,236,762,729
  5. Step 5: Solve for x
    x = 194,236,762,729/217,440
  6. Step 6: Final answer
    x = 893,289.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.