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Finding the Third Proportional to 433,408 and 645,522

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Solution

The third proportional to 433,408 and 645,522 is: 961,446.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,408 : 645,522 = 645,522 : x
  2. Step 2: Convert to fraction form
    433,408/645,522 = 645,522/x
  3. Step 3: Cross multiply
    433,408x = 645,522 × 645,522
  4. Step 4: Simplify right side
    433,408x = 416,698,652,484
  5. Step 5: Solve for x
    x = 416,698,652,484/433,408
  6. Step 6: Final answer
    x = 961,446.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.