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Finding the Third Proportional to 386,471.09 and 508,208.40

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Solution

The third proportional to 386,471.09 and 508,208.40 is: 668,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,471.09 : 508,208.40 = 508,208.40 : x
  2. Step 2: Convert to fraction form
    386,471.09/508,208.40 = 508,208.40/x
  3. Step 3: Cross multiply
    386,471.09x = 508,208.40 × 508,208.40
  4. Step 4: Simplify right side
    386,471.09x = 258,275,774,257.25
  5. Step 5: Solve for x
    x = 258,275,774,257.25/386,471.09
  6. Step 6: Final answer
    x = 668,292.61

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.