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Finding the Third Proportional to 453,990 and 687,297

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Solution

The third proportional to 453,990 and 687,297 is: 1,040,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,990 : 687,297 = 687,297 : x
  2. Step 2: Convert to fraction form
    453,990/687,297 = 687,297/x
  3. Step 3: Cross multiply
    453,990x = 687,297 × 687,297
  4. Step 4: Simplify right side
    453,990x = 472,377,166,209
  5. Step 5: Solve for x
    x = 472,377,166,209/453,990
  6. Step 6: Final answer
    x = 1,040,501.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.