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Finding the Third Proportional to 307,218 and 653,188

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Solution

The third proportional to 307,218 and 653,188 is: 1,388,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,218 : 653,188 = 653,188 : x
  2. Step 2: Convert to fraction form
    307,218/653,188 = 653,188/x
  3. Step 3: Cross multiply
    307,218x = 653,188 × 653,188
  4. Step 4: Simplify right side
    307,218x = 426,654,563,344
  5. Step 5: Solve for x
    x = 426,654,563,344/307,218
  6. Step 6: Final answer
    x = 1,388,768.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.