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Finding the Third Proportional to 515,718 and 788,400

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Solution

The third proportional to 515,718 and 788,400 is: 1,205,260.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,718 : 788,400 = 788,400 : x
  2. Step 2: Convert to fraction form
    515,718/788,400 = 788,400/x
  3. Step 3: Cross multiply
    515,718x = 788,400 × 788,400
  4. Step 4: Simplify right side
    515,718x = 621,574,560,000
  5. Step 5: Solve for x
    x = 621,574,560,000/515,718
  6. Step 6: Final answer
    x = 1,205,260.55

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.