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Finding the Third Proportional to 235,564 and 515,990

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Solution

The third proportional to 235,564 and 515,990 is: 1,130,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,564 : 515,990 = 515,990 : x
  2. Step 2: Convert to fraction form
    235,564/515,990 = 515,990/x
  3. Step 3: Cross multiply
    235,564x = 515,990 × 515,990
  4. Step 4: Simplify right side
    235,564x = 266,245,680,100
  5. Step 5: Solve for x
    x = 266,245,680,100/235,564
  6. Step 6: Final answer
    x = 1,130,247.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.