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Finding the Third Proportional to 509,715 and 809,774

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Solution

The third proportional to 509,715 and 809,774 is: 1,286,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,715 : 809,774 = 809,774 : x
  2. Step 2: Convert to fraction form
    509,715/809,774 = 809,774/x
  3. Step 3: Cross multiply
    509,715x = 809,774 × 809,774
  4. Step 4: Simplify right side
    509,715x = 655,733,931,076
  5. Step 5: Solve for x
    x = 655,733,931,076/509,715
  6. Step 6: Final answer
    x = 1,286,471.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.