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Finding the Third Proportional to 138,003 and 202,461

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Solution

The third proportional to 138,003 and 202,461 is: 297,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,003 : 202,461 = 202,461 : x
  2. Step 2: Convert to fraction form
    138,003/202,461 = 202,461/x
  3. Step 3: Cross multiply
    138,003x = 202,461 × 202,461
  4. Step 4: Simplify right side
    138,003x = 40,990,456,521
  5. Step 5: Solve for x
    x = 40,990,456,521/138,003
  6. Step 6: Final answer
    x = 297,025.84

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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.