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Finding the Third Proportional to 336,408 and 716,416

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Solution

The third proportional to 336,408 and 716,416 is: 1,525,682.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,408 : 716,416 = 716,416 : x
  2. Step 2: Convert to fraction form
    336,408/716,416 = 716,416/x
  3. Step 3: Cross multiply
    336,408x = 716,416 × 716,416
  4. Step 4: Simplify right side
    336,408x = 513,251,885,056
  5. Step 5: Solve for x
    x = 513,251,885,056/336,408
  6. Step 6: Final answer
    x = 1,525,682.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.