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Finding the Third Proportional to 139,600.13 and 302,818.50

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Solution

The third proportional to 139,600.13 and 302,818.50 is: 656,869.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,600.13 : 302,818.50 = 302,818.50 : x
  2. Step 2: Convert to fraction form
    139,600.13/302,818.50 = 302,818.50/x
  3. Step 3: Cross multiply
    139,600.13x = 302,818.50 × 302,818.50
  4. Step 4: Simplify right side
    139,600.13x = 91,699,043,942.25
  5. Step 5: Solve for x
    x = 91,699,043,942.25/139,600.13
  6. Step 6: Final answer
    x = 656,869.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.