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Finding the Third Proportional to 343,176 and 517,464

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Solution

The third proportional to 343,176 and 517,464 is: 780,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,176 : 517,464 = 517,464 : x
  2. Step 2: Convert to fraction form
    343,176/517,464 = 517,464/x
  3. Step 3: Cross multiply
    343,176x = 517,464 × 517,464
  4. Step 4: Simplify right side
    343,176x = 267,768,991,296
  5. Step 5: Solve for x
    x = 267,768,991,296/343,176
  6. Step 6: Final answer
    x = 780,267.24

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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.