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Finding the Third Proportional to 517,288.78 and 1,127,677.78

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Solution

The third proportional to 517,288.78 and 1,127,677.78 is: 2,458,311.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,288.78 : 1,127,677.78 = 1,127,677.78 : x
  2. Step 2: Convert to fraction form
    517,288.78/1,127,677.78 = 1,127,677.78/x
  3. Step 3: Cross multiply
    517,288.78x = 1,127,677.78 × 1,127,677.78
  4. Step 4: Simplify right side
    517,288.78x = 1,271,657,178,324.92
  5. Step 5: Solve for x
    x = 1,271,657,178,324.92/517,288.78
  6. Step 6: Final answer
    x = 2,458,311.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.