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Finding the Third Proportional to 425,884 and 662,190

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Solution

The third proportional to 425,884 and 662,190 is: 1,029,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,884 : 662,190 = 662,190 : x
  2. Step 2: Convert to fraction form
    425,884/662,190 = 662,190/x
  3. Step 3: Cross multiply
    425,884x = 662,190 × 662,190
  4. Step 4: Simplify right side
    425,884x = 438,495,596,100
  5. Step 5: Solve for x
    x = 438,495,596,100/425,884
  6. Step 6: Final answer
    x = 1,029,612.75

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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.