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Finding the Third Proportional to 118,543.50 and 279,827.16

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Solution

The third proportional to 118,543.50 and 279,827.16 is: 660,544.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,543.50 : 279,827.16 = 279,827.16 : x
  2. Step 2: Convert to fraction form
    118,543.50/279,827.16 = 279,827.16/x
  3. Step 3: Cross multiply
    118,543.50x = 279,827.16 × 279,827.16
  4. Step 4: Simplify right side
    118,543.50x = 78,303,237,374.96
  5. Step 5: Solve for x
    x = 78,303,237,374.96/118,543.50
  6. Step 6: Final answer
    x = 660,544.33

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.