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Finding the Third Proportional to 346,754 and 518,727

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Solution

The third proportional to 346,754 and 518,727 is: 775,990.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,754 : 518,727 = 518,727 : x
  2. Step 2: Convert to fraction form
    346,754/518,727 = 518,727/x
  3. Step 3: Cross multiply
    346,754x = 518,727 × 518,727
  4. Step 4: Simplify right side
    346,754x = 269,077,700,529
  5. Step 5: Solve for x
    x = 269,077,700,529/346,754
  6. Step 6: Final answer
    x = 775,990.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.