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Finding the Third Proportional to 375.66 and 802.78

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Solution

The third proportional to 375.66 and 802.78 is: 1,715.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.66 : 802.78 = 802.78 : x
  2. Step 2: Convert to fraction form
    375.66/802.78 = 802.78/x
  3. Step 3: Cross multiply
    375.66x = 802.78 × 802.78
  4. Step 4: Simplify right side
    375.66x = 644,457.74
  5. Step 5: Solve for x
    x = 644,457.74/375.66
  6. Step 6: Final answer
    x = 1,715.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.