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Finding the Third Proportional to 200,157 and 439,678.50

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Solution

The third proportional to 200,157 and 439,678.50 is: 965,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,157 : 439,678.50 = 439,678.50 : x
  2. Step 2: Convert to fraction form
    200,157/439,678.50 = 439,678.50/x
  3. Step 3: Cross multiply
    200,157x = 439,678.50 × 439,678.50
  4. Step 4: Simplify right side
    200,157x = 193,317,183,362.25
  5. Step 5: Solve for x
    x = 193,317,183,362.25/200,157
  6. Step 6: Final answer
    x = 965,827.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.