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Finding the Third Proportional to 138,970 and 299,972

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Solution

The third proportional to 138,970 and 299,972 is: 647,500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,970 : 299,972 = 299,972 : x
  2. Step 2: Convert to fraction form
    138,970/299,972 = 299,972/x
  3. Step 3: Cross multiply
    138,970x = 299,972 × 299,972
  4. Step 4: Simplify right side
    138,970x = 89,983,200,784
  5. Step 5: Solve for x
    x = 89,983,200,784/138,970
  6. Step 6: Final answer
    x = 647,500.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.