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Finding the Third Proportional to 425,880 and 662,184

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Solution

The third proportional to 425,880 and 662,184 is: 1,029,603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,880 : 662,184 = 662,184 : x
  2. Step 2: Convert to fraction form
    425,880/662,184 = 662,184/x
  3. Step 3: Cross multiply
    425,880x = 662,184 × 662,184
  4. Step 4: Simplify right side
    425,880x = 438,487,649,856
  5. Step 5: Solve for x
    x = 438,487,649,856/425,880
  6. Step 6: Final answer
    x = 1,029,603.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.