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Finding the Third Proportional to 340,998 and 516,236

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Solution

The third proportional to 340,998 and 516,236 is: 781,528.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,998 : 516,236 = 516,236 : x
  2. Step 2: Convert to fraction form
    340,998/516,236 = 516,236/x
  3. Step 3: Cross multiply
    340,998x = 516,236 × 516,236
  4. Step 4: Simplify right side
    340,998x = 266,499,607,696
  5. Step 5: Solve for x
    x = 266,499,607,696/340,998
  6. Step 6: Final answer
    x = 781,528.36

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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.