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Finding the Third Proportional to 356,467 and 742,422

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Solution

The third proportional to 356,467 and 742,422 is: 1,546,259.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,467 : 742,422 = 742,422 : x
  2. Step 2: Convert to fraction form
    356,467/742,422 = 742,422/x
  3. Step 3: Cross multiply
    356,467x = 742,422 × 742,422
  4. Step 4: Simplify right side
    356,467x = 551,190,426,084
  5. Step 5: Solve for x
    x = 551,190,426,084/356,467
  6. Step 6: Final answer
    x = 1,546,259.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.