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Finding the Third Proportional to 407,408 and 877,224

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Solution

The third proportional to 407,408 and 877,224 is: 1,888,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,408 : 877,224 = 877,224 : x
  2. Step 2: Convert to fraction form
    407,408/877,224 = 877,224/x
  3. Step 3: Cross multiply
    407,408x = 877,224 × 877,224
  4. Step 4: Simplify right side
    407,408x = 769,521,946,176
  5. Step 5: Solve for x
    x = 769,521,946,176/407,408
  6. Step 6: Final answer
    x = 1,888,823.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.