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Finding the Third Proportional to 343,158 and 517,260

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Solution

The third proportional to 343,158 and 517,260 is: 779,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,158 : 517,260 = 517,260 : x
  2. Step 2: Convert to fraction form
    343,158/517,260 = 517,260/x
  3. Step 3: Cross multiply
    343,158x = 517,260 × 517,260
  4. Step 4: Simplify right side
    343,158x = 267,557,907,600
  5. Step 5: Solve for x
    x = 267,557,907,600/343,158
  6. Step 6: Final answer
    x = 779,693.05

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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.