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Finding the Third Proportional to 302,864 and 637,074

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Solution

The third proportional to 302,864 and 637,074 is: 1,340,084.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,864 : 637,074 = 637,074 : x
  2. Step 2: Convert to fraction form
    302,864/637,074 = 637,074/x
  3. Step 3: Cross multiply
    302,864x = 637,074 × 637,074
  4. Step 4: Simplify right side
    302,864x = 405,863,281,476
  5. Step 5: Solve for x
    x = 405,863,281,476/302,864
  6. Step 6: Final answer
    x = 1,340,084.27

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.