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Finding the Third Proportional to 218,973.38 and 373,863.09

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Solution

The third proportional to 218,973.38 and 373,863.09 is: 638,313.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,973.38 : 373,863.09 = 373,863.09 : x
  2. Step 2: Convert to fraction form
    218,973.38/373,863.09 = 373,863.09/x
  3. Step 3: Cross multiply
    218,973.38x = 373,863.09 × 373,863.09
  4. Step 4: Simplify right side
    218,973.38x = 139,773,612,868.32
  5. Step 5: Solve for x
    x = 139,773,612,868.32/218,973.38
  6. Step 6: Final answer
    x = 638,313.28

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.