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Finding the Third Proportional to 217,140.19 and 313,253.58

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Solution

The third proportional to 217,140.19 and 313,253.58 is: 451,909.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,140.19 : 313,253.58 = 313,253.58 : x
  2. Step 2: Convert to fraction form
    217,140.19/313,253.58 = 313,253.58/x
  3. Step 3: Cross multiply
    217,140.19x = 313,253.58 × 313,253.58
  4. Step 4: Simplify right side
    217,140.19x = 98,127,804,208.12
  5. Step 5: Solve for x
    x = 98,127,804,208.12/217,140.19
  6. Step 6: Final answer
    x = 451,909.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.