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Finding the Third Proportional to 509,391 and 689,352.75

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Solution

The third proportional to 509,391 and 689,352.75 is: 932,892.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,391 : 689,352.75 = 689,352.75 : x
  2. Step 2: Convert to fraction form
    509,391/689,352.75 = 689,352.75/x
  3. Step 3: Cross multiply
    509,391x = 689,352.75 × 689,352.75
  4. Step 4: Simplify right side
    509,391x = 475,207,213,932.56
  5. Step 5: Solve for x
    x = 475,207,213,932.56/509,391
  6. Step 6: Final answer
    x = 932,892.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.