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Finding the Third Proportional to 4,430.81 and 9,666.56

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Solution

The third proportional to 4,430.81 and 9,666.56 is: 21,089.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430.81 : 9,666.56 = 9,666.56 : x
  2. Step 2: Convert to fraction form
    4,430.81/9,666.56 = 9,666.56/x
  3. Step 3: Cross multiply
    4,430.81x = 9,666.56 × 9,666.56
  4. Step 4: Simplify right side
    4,430.81x = 93,442,430.57
  5. Step 5: Solve for x
    x = 93,442,430.57/4,430.81
  6. Step 6: Final answer
    x = 21,089.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.