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Finding the Third Proportional to 340,634 and 515,685

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Solution

The third proportional to 340,634 and 515,685 is: 780,694.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,634 : 515,685 = 515,685 : x
  2. Step 2: Convert to fraction form
    340,634/515,685 = 515,685/x
  3. Step 3: Cross multiply
    340,634x = 515,685 × 515,685
  4. Step 4: Simplify right side
    340,634x = 265,931,019,225
  5. Step 5: Solve for x
    x = 265,931,019,225/340,634
  6. Step 6: Final answer
    x = 780,694.29

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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.