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Finding the Third Proportional to 139,949.72 and 299,865.66

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Solution

The third proportional to 139,949.72 and 299,865.66 is: 642,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,949.72 : 299,865.66 = 299,865.66 : x
  2. Step 2: Convert to fraction form
    139,949.72/299,865.66 = 299,865.66/x
  3. Step 3: Cross multiply
    139,949.72x = 299,865.66 × 299,865.66
  4. Step 4: Simplify right side
    139,949.72x = 89,919,411,798.24
  5. Step 5: Solve for x
    x = 89,919,411,798.24/139,949.72
  6. Step 6: Final answer
    x = 642,512.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.