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Finding the Third Proportional to 346,986 and 517,591

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Solution

The third proportional to 346,986 and 517,591 is: 772,078.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,986 : 517,591 = 517,591 : x
  2. Step 2: Convert to fraction form
    346,986/517,591 = 517,591/x
  3. Step 3: Cross multiply
    346,986x = 517,591 × 517,591
  4. Step 4: Simplify right side
    346,986x = 267,900,443,281
  5. Step 5: Solve for x
    x = 267,900,443,281/346,986
  6. Step 6: Final answer
    x = 772,078.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.