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Finding the Third Proportional to 203,607 and 299,478

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Solution

The third proportional to 203,607 and 299,478 is: 440,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,607 : 299,478 = 299,478 : x
  2. Step 2: Convert to fraction form
    203,607/299,478 = 299,478/x
  3. Step 3: Cross multiply
    203,607x = 299,478 × 299,478
  4. Step 4: Simplify right side
    203,607x = 89,687,072,484
  5. Step 5: Solve for x
    x = 89,687,072,484/203,607
  6. Step 6: Final answer
    x = 440,491.11

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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.