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Finding the Third Proportional to 346,700 and 517,782

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Solution

The third proportional to 346,700 and 517,782 is: 773,285.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,700 : 517,782 = 517,782 : x
  2. Step 2: Convert to fraction form
    346,700/517,782 = 517,782/x
  3. Step 3: Cross multiply
    346,700x = 517,782 × 517,782
  4. Step 4: Simplify right side
    346,700x = 268,098,199,524
  5. Step 5: Solve for x
    x = 268,098,199,524/346,700
  6. Step 6: Final answer
    x = 773,285.84

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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.