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Finding the Third Proportional to 297,902 and 638,444

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Solution

The third proportional to 297,902 and 638,444 is: 1,368,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,902 : 638,444 = 638,444 : x
  2. Step 2: Convert to fraction form
    297,902/638,444 = 638,444/x
  3. Step 3: Cross multiply
    297,902x = 638,444 × 638,444
  4. Step 4: Simplify right side
    297,902x = 407,610,741,136
  5. Step 5: Solve for x
    x = 407,610,741,136/297,902
  6. Step 6: Final answer
    x = 1,368,271.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.