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Finding the Third Proportional to 309,078 and 651,915

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Solution

The third proportional to 309,078 and 651,915 is: 1,375,035.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,078 : 651,915 = 651,915 : x
  2. Step 2: Convert to fraction form
    309,078/651,915 = 651,915/x
  3. Step 3: Cross multiply
    309,078x = 651,915 × 651,915
  4. Step 4: Simplify right side
    309,078x = 424,993,167,225
  5. Step 5: Solve for x
    x = 424,993,167,225/309,078
  6. Step 6: Final answer
    x = 1,375,035.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.