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Finding the Third Proportional to 4,705.13 and 7,289.81

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Solution

The third proportional to 4,705.13 and 7,289.81 is: 11,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.13 : 7,289.81 = 7,289.81 : x
  2. Step 2: Convert to fraction form
    4,705.13/7,289.81 = 7,289.81/x
  3. Step 3: Cross multiply
    4,705.13x = 7,289.81 × 7,289.81
  4. Step 4: Simplify right side
    4,705.13x = 53,141,366.29
  5. Step 5: Solve for x
    x = 53,141,366.29/4,705.13
  6. Step 6: Final answer
    x = 11,294.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.