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Finding the Third Proportional to 345,648 and 741,408

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Solution

The third proportional to 345,648 and 741,408 is: 1,590,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,648 : 741,408 = 741,408 : x
  2. Step 2: Convert to fraction form
    345,648/741,408 = 741,408/x
  3. Step 3: Cross multiply
    345,648x = 741,408 × 741,408
  4. Step 4: Simplify right side
    345,648x = 549,685,822,464
  5. Step 5: Solve for x
    x = 549,685,822,464/345,648
  6. Step 6: Final answer
    x = 1,590,305.23

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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.