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Finding the Third Proportional to 336,774 and 720,242

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Solution

The third proportional to 336,774 and 720,242 is: 1,540,346.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,774 : 720,242 = 720,242 : x
  2. Step 2: Convert to fraction form
    336,774/720,242 = 720,242/x
  3. Step 3: Cross multiply
    336,774x = 720,242 × 720,242
  4. Step 4: Simplify right side
    336,774x = 518,748,538,564
  5. Step 5: Solve for x
    x = 518,748,538,564/336,774
  6. Step 6: Final answer
    x = 1,540,346.16

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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.