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Finding the Third Proportional to 302,880 and 637,156

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Solution

The third proportional to 302,880 and 637,156 is: 1,340,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,880 : 637,156 = 637,156 : x
  2. Step 2: Convert to fraction form
    302,880/637,156 = 637,156/x
  3. Step 3: Cross multiply
    302,880x = 637,156 × 637,156
  4. Step 4: Simplify right side
    302,880x = 405,967,768,336
  5. Step 5: Solve for x
    x = 405,967,768,336/302,880
  6. Step 6: Final answer
    x = 1,340,358.45

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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.