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Finding the Third Proportional to 356,422 and 742,331

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Solution

The third proportional to 356,422 and 742,331 is: 1,546,075.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,422 : 742,331 = 742,331 : x
  2. Step 2: Convert to fraction form
    356,422/742,331 = 742,331/x
  3. Step 3: Cross multiply
    356,422x = 742,331 × 742,331
  4. Step 4: Simplify right side
    356,422x = 551,055,313,561
  5. Step 5: Solve for x
    x = 551,055,313,561/356,422
  6. Step 6: Final answer
    x = 1,546,075.48

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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.