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Finding the Third Proportional to 669,378.38 and 1,005,528.38

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Solution

The third proportional to 669,378.38 and 1,005,528.38 is: 1,510,486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,378.38 : 1,005,528.38 = 1,005,528.38 : x
  2. Step 2: Convert to fraction form
    669,378.38/1,005,528.38 = 1,005,528.38/x
  3. Step 3: Cross multiply
    669,378.38x = 1,005,528.38 × 1,005,528.38
  4. Step 4: Simplify right side
    669,378.38x = 1,011,087,312,930.14
  5. Step 5: Solve for x
    x = 1,011,087,312,930.14/669,378.38
  6. Step 6: Final answer
    x = 1,510,486.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.