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Finding the Third Proportional to 509,343.75 and 689,278.50

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Solution

The third proportional to 509,343.75 and 689,278.50 is: 932,778.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,343.75 : 689,278.50 = 689,278.50 : x
  2. Step 2: Convert to fraction form
    509,343.75/689,278.50 = 689,278.50/x
  3. Step 3: Cross multiply
    509,343.75x = 689,278.50 × 689,278.50
  4. Step 4: Simplify right side
    509,343.75x = 475,104,850,562.25
  5. Step 5: Solve for x
    x = 475,104,850,562.25/509,343.75
  6. Step 6: Final answer
    x = 932,778.40

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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.