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Finding the Third Proportional to 138,213 and 202,905

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Solution

The third proportional to 138,213 and 202,905 is: 297,876.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,213 : 202,905 = 202,905 : x
  2. Step 2: Convert to fraction form
    138,213/202,905 = 202,905/x
  3. Step 3: Cross multiply
    138,213x = 202,905 × 202,905
  4. Step 4: Simplify right side
    138,213x = 41,170,439,025
  5. Step 5: Solve for x
    x = 41,170,439,025/138,213
  6. Step 6: Final answer
    x = 297,876.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.