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Finding the Third Proportional to 139,469.34 and 207,152.44

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Solution

The third proportional to 139,469.34 and 207,152.44 is: 307,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,469.34 : 207,152.44 = 207,152.44 : x
  2. Step 2: Convert to fraction form
    139,469.34/207,152.44 = 207,152.44/x
  3. Step 3: Cross multiply
    139,469.34x = 207,152.44 × 207,152.44
  4. Step 4: Simplify right side
    139,469.34x = 42,912,132,362.19
  5. Step 5: Solve for x
    x = 42,912,132,362.19/139,469.34
  6. Step 6: Final answer
    x = 307,681.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.