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Finding the Third Proportional to 343,708 and 519,985

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Solution

The third proportional to 343,708 and 519,985 is: 786,668.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,708 : 519,985 = 519,985 : x
  2. Step 2: Convert to fraction form
    343,708/519,985 = 519,985/x
  3. Step 3: Cross multiply
    343,708x = 519,985 × 519,985
  4. Step 4: Simplify right side
    343,708x = 270,384,400,225
  5. Step 5: Solve for x
    x = 270,384,400,225/343,708
  6. Step 6: Final answer
    x = 786,668.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.