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Finding the Third Proportional to 303,045 and 637,410

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Solution

The third proportional to 303,045 and 637,410 is: 1,340,696.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,045 : 637,410 = 637,410 : x
  2. Step 2: Convert to fraction form
    303,045/637,410 = 637,410/x
  3. Step 3: Cross multiply
    303,045x = 637,410 × 637,410
  4. Step 4: Simplify right side
    303,045x = 406,291,508,100
  5. Step 5: Solve for x
    x = 406,291,508,100/303,045
  6. Step 6: Final answer
    x = 1,340,696.95

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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.