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Finding the Third Proportional to 208,359.50 and 486,863

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Solution

The third proportional to 208,359.50 and 486,863 is: 1,137,627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,359.50 : 486,863 = 486,863 : x
  2. Step 2: Convert to fraction form
    208,359.50/486,863 = 486,863/x
  3. Step 3: Cross multiply
    208,359.50x = 486,863 × 486,863
  4. Step 4: Simplify right side
    208,359.50x = 237,035,580,769
  5. Step 5: Solve for x
    x = 237,035,580,769/208,359.50
  6. Step 6: Final answer
    x = 1,137,627.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.