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Finding the Third Proportional to 340,762 and 743,407

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Solution

The third proportional to 340,762 and 743,407 is: 1,621,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,762 : 743,407 = 743,407 : x
  2. Step 2: Convert to fraction form
    340,762/743,407 = 743,407/x
  3. Step 3: Cross multiply
    340,762x = 743,407 × 743,407
  4. Step 4: Simplify right side
    340,762x = 552,653,967,649
  5. Step 5: Solve for x
    x = 552,653,967,649/340,762
  6. Step 6: Final answer
    x = 1,621,818.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.