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Finding the Third Proportional to 386,977.50 and 586,305

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Solution

The third proportional to 386,977.50 and 586,305 is: 888,303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,977.50 : 586,305 = 586,305 : x
  2. Step 2: Convert to fraction form
    386,977.50/586,305 = 586,305/x
  3. Step 3: Cross multiply
    386,977.50x = 586,305 × 586,305
  4. Step 4: Simplify right side
    386,977.50x = 343,753,553,025
  5. Step 5: Solve for x
    x = 343,753,553,025/386,977.50
  6. Step 6: Final answer
    x = 888,303.72

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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.