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Finding the Third Proportional to 433,458 and 645,597

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Solution

The third proportional to 433,458 and 645,597 is: 961,559.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,458 : 645,597 = 645,597 : x
  2. Step 2: Convert to fraction form
    433,458/645,597 = 645,597/x
  3. Step 3: Cross multiply
    433,458x = 645,597 × 645,597
  4. Step 4: Simplify right side
    433,458x = 416,795,486,409
  5. Step 5: Solve for x
    x = 416,795,486,409/433,458
  6. Step 6: Final answer
    x = 961,559.10

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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.