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Finding the Third Proportional to 386,886 and 547,929

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Solution

The third proportional to 386,886 and 547,929 is: 776,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,886 : 547,929 = 547,929 : x
  2. Step 2: Convert to fraction form
    386,886/547,929 = 547,929/x
  3. Step 3: Cross multiply
    386,886x = 547,929 × 547,929
  4. Step 4: Simplify right side
    386,886x = 300,226,189,041
  5. Step 5: Solve for x
    x = 300,226,189,041/386,886
  6. Step 6: Final answer
    x = 776,006.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.