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Finding the Third Proportional to 286,638 and 440,973

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Solution

The third proportional to 286,638 and 440,973 is: 678,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,638 : 440,973 = 440,973 : x
  2. Step 2: Convert to fraction form
    286,638/440,973 = 440,973/x
  3. Step 3: Cross multiply
    286,638x = 440,973 × 440,973
  4. Step 4: Simplify right side
    286,638x = 194,457,186,729
  5. Step 5: Solve for x
    x = 194,457,186,729/286,638
  6. Step 6: Final answer
    x = 678,406.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.