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Finding the Third Proportional to 378,343.50 and 802,803

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Solution

The third proportional to 378,343.50 and 802,803 is: 1,703,459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,343.50 : 802,803 = 802,803 : x
  2. Step 2: Convert to fraction form
    378,343.50/802,803 = 802,803/x
  3. Step 3: Cross multiply
    378,343.50x = 802,803 × 802,803
  4. Step 4: Simplify right side
    378,343.50x = 644,492,656,809
  5. Step 5: Solve for x
    x = 644,492,656,809/378,343.50
  6. Step 6: Final answer
    x = 1,703,459.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.