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Finding the Third Proportional to 509,309 and 1,079,329

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Solution

The third proportional to 509,309 and 1,079,329 is: 2,287,316.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,309 : 1,079,329 = 1,079,329 : x
  2. Step 2: Convert to fraction form
    509,309/1,079,329 = 1,079,329/x
  3. Step 3: Cross multiply
    509,309x = 1,079,329 × 1,079,329
  4. Step 4: Simplify right side
    509,309x = 1,164,951,090,241
  5. Step 5: Solve for x
    x = 1,164,951,090,241/509,309
  6. Step 6: Final answer
    x = 2,287,316.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.