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Finding the Third Proportional to 138,929 and 303,545

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Solution

The third proportional to 138,929 and 303,545 is: 663,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,929 : 303,545 = 303,545 : x
  2. Step 2: Convert to fraction form
    138,929/303,545 = 303,545/x
  3. Step 3: Cross multiply
    138,929x = 303,545 × 303,545
  4. Step 4: Simplify right side
    138,929x = 92,139,567,025
  5. Step 5: Solve for x
    x = 92,139,567,025/138,929
  6. Step 6: Final answer
    x = 663,213.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.