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Finding the Third Proportional to 343,984 and 517,992

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Solution

The third proportional to 343,984 and 517,992 is: 780,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,984 : 517,992 = 517,992 : x
  2. Step 2: Convert to fraction form
    343,984/517,992 = 517,992/x
  3. Step 3: Cross multiply
    343,984x = 517,992 × 517,992
  4. Step 4: Simplify right side
    343,984x = 268,315,712,064
  5. Step 5: Solve for x
    x = 268,315,712,064/343,984
  6. Step 6: Final answer
    x = 780,023.82

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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.