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Finding the Third Proportional to 312,408 and 684,624

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Solution

The third proportional to 312,408 and 684,624 is: 1,500,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,408 : 684,624 = 684,624 : x
  2. Step 2: Convert to fraction form
    312,408/684,624 = 684,624/x
  3. Step 3: Cross multiply
    312,408x = 684,624 × 684,624
  4. Step 4: Simplify right side
    312,408x = 468,710,021,376
  5. Step 5: Solve for x
    x = 468,710,021,376/312,408
  6. Step 6: Final answer
    x = 1,500,313.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.