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Finding the Third Proportional to 397,244 and 607,787

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Solution

The third proportional to 397,244 and 607,787 is: 929,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,244 : 607,787 = 607,787 : x
  2. Step 2: Convert to fraction form
    397,244/607,787 = 607,787/x
  3. Step 3: Cross multiply
    397,244x = 607,787 × 607,787
  4. Step 4: Simplify right side
    397,244x = 369,405,037,369
  5. Step 5: Solve for x
    x = 369,405,037,369/397,244
  6. Step 6: Final answer
    x = 929,919.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.