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Finding the Third Proportional to 202,368 and 444,102

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Solution

The third proportional to 202,368 and 444,102 is: 974,593.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,368 : 444,102 = 444,102 : x
  2. Step 2: Convert to fraction form
    202,368/444,102 = 444,102/x
  3. Step 3: Cross multiply
    202,368x = 444,102 × 444,102
  4. Step 4: Simplify right side
    202,368x = 197,226,586,404
  5. Step 5: Solve for x
    x = 197,226,586,404/202,368
  6. Step 6: Final answer
    x = 974,593.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.