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Finding the Third Proportional to 385,862 and 603,489

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Solution

The third proportional to 385,862 and 603,489 is: 943,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,862 : 603,489 = 603,489 : x
  2. Step 2: Convert to fraction form
    385,862/603,489 = 603,489/x
  3. Step 3: Cross multiply
    385,862x = 603,489 × 603,489
  4. Step 4: Simplify right side
    385,862x = 364,198,973,121
  5. Step 5: Solve for x
    x = 364,198,973,121/385,862
  6. Step 6: Final answer
    x = 943,858.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.