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Finding the Third Proportional to 315,860 and 515,715

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Solution

The third proportional to 315,860 and 515,715 is: 842,024.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,860 : 515,715 = 515,715 : x
  2. Step 2: Convert to fraction form
    315,860/515,715 = 515,715/x
  3. Step 3: Cross multiply
    315,860x = 515,715 × 515,715
  4. Step 4: Simplify right side
    315,860x = 265,961,961,225
  5. Step 5: Solve for x
    x = 265,961,961,225/315,860
  6. Step 6: Final answer
    x = 842,024.83

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.