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Finding the Third Proportional to 287,902 and 619,544

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Solution

The third proportional to 287,902 and 619,544 is: 1,333,213.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,902 : 619,544 = 619,544 : x
  2. Step 2: Convert to fraction form
    287,902/619,544 = 619,544/x
  3. Step 3: Cross multiply
    287,902x = 619,544 × 619,544
  4. Step 4: Simplify right side
    287,902x = 383,834,767,936
  5. Step 5: Solve for x
    x = 383,834,767,936/287,902
  6. Step 6: Final answer
    x = 1,333,213.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.