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Finding the Third Proportional to 517,312 and 798,108

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Solution

The third proportional to 517,312 and 798,108 is: 1,231,319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,312 : 798,108 = 798,108 : x
  2. Step 2: Convert to fraction form
    517,312/798,108 = 798,108/x
  3. Step 3: Cross multiply
    517,312x = 798,108 × 798,108
  4. Step 4: Simplify right side
    517,312x = 636,976,379,664
  5. Step 5: Solve for x
    x = 636,976,379,664/517,312
  6. Step 6: Final answer
    x = 1,231,319.55

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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.