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Finding the Third Proportional to 4,210.31 and 9,117.56

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Solution

The third proportional to 4,210.31 and 9,117.56 is: 19,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.31 : 9,117.56 = 9,117.56 : x
  2. Step 2: Convert to fraction form
    4,210.31/9,117.56 = 9,117.56/x
  3. Step 3: Cross multiply
    4,210.31x = 9,117.56 × 9,117.56
  4. Step 4: Simplify right side
    4,210.31x = 83,129,945.94
  5. Step 5: Solve for x
    x = 83,129,945.94/4,210.31
  6. Step 6: Final answer
    x = 19,744.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.