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Finding the Third Proportional to 802.45 and 1,752.61

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Solution

The third proportional to 802.45 and 1,752.61 is: 3,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.45 : 1,752.61 = 1,752.61 : x
  2. Step 2: Convert to fraction form
    802.45/1,752.61 = 1,752.61/x
  3. Step 3: Cross multiply
    802.45x = 1,752.61 × 1,752.61
  4. Step 4: Simplify right side
    802.45x = 3,071,639.62
  5. Step 5: Solve for x
    x = 3,071,639.62/802.45
  6. Step 6: Final answer
    x = 3,827.81

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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.