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Finding the Third Proportional to 386,475.94 and 508,213.88

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Solution

The third proportional to 386,475.94 and 508,213.88 is: 668,298.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,475.94 : 508,213.88 = 508,213.88 : x
  2. Step 2: Convert to fraction form
    386,475.94/508,213.88 = 508,213.88/x
  3. Step 3: Cross multiply
    386,475.94x = 508,213.88 × 508,213.88
  4. Step 4: Simplify right side
    386,475.94x = 258,281,342,742.52
  5. Step 5: Solve for x
    x = 258,281,342,742.52/386,475.94
  6. Step 6: Final answer
    x = 668,298.64

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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.