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Finding the Third Proportional to 348,408 and 753,840

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Solution

The third proportional to 348,408 and 753,840 is: 1,631,061.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,408 : 753,840 = 753,840 : x
  2. Step 2: Convert to fraction form
    348,408/753,840 = 753,840/x
  3. Step 3: Cross multiply
    348,408x = 753,840 × 753,840
  4. Step 4: Simplify right side
    348,408x = 568,274,745,600
  5. Step 5: Solve for x
    x = 568,274,745,600/348,408
  6. Step 6: Final answer
    x = 1,631,061.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.