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Finding the Third Proportional to 518,944 and 788,880

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Solution

The third proportional to 518,944 and 788,880 is: 1,199,227.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,944 : 788,880 = 788,880 : x
  2. Step 2: Convert to fraction form
    518,944/788,880 = 788,880/x
  3. Step 3: Cross multiply
    518,944x = 788,880 × 788,880
  4. Step 4: Simplify right side
    518,944x = 622,331,654,400
  5. Step 5: Solve for x
    x = 622,331,654,400/518,944
  6. Step 6: Final answer
    x = 1,199,227.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.