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Finding the Third Proportional to 433,989 and 663,489

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Solution

The third proportional to 433,989 and 663,489 is: 1,014,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,989 : 663,489 = 663,489 : x
  2. Step 2: Convert to fraction form
    433,989/663,489 = 663,489/x
  3. Step 3: Cross multiply
    433,989x = 663,489 × 663,489
  4. Step 4: Simplify right side
    433,989x = 440,217,653,121
  5. Step 5: Solve for x
    x = 440,217,653,121/433,989
  6. Step 6: Final answer
    x = 1,014,352.10

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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.