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Finding the Third Proportional to 514,188 and 790,836

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Solution

The third proportional to 514,188 and 790,836 is: 1,216,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,188 : 790,836 = 790,836 : x
  2. Step 2: Convert to fraction form
    514,188/790,836 = 790,836/x
  3. Step 3: Cross multiply
    514,188x = 790,836 × 790,836
  4. Step 4: Simplify right side
    514,188x = 625,421,578,896
  5. Step 5: Solve for x
    x = 625,421,578,896/514,188
  6. Step 6: Final answer
    x = 1,216,328.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.