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Finding the Third Proportional to 448,416 and 673,920

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Solution

The third proportional to 448,416 and 673,920 is: 1,012,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,416 : 673,920 = 673,920 : x
  2. Step 2: Convert to fraction form
    448,416/673,920 = 673,920/x
  3. Step 3: Cross multiply
    448,416x = 673,920 × 673,920
  4. Step 4: Simplify right side
    448,416x = 454,168,166,400
  5. Step 5: Solve for x
    x = 454,168,166,400/448,416
  6. Step 6: Final answer
    x = 1,012,827.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.