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Finding the Third Proportional to 368,612 and 802,780

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Solution

The third proportional to 368,612 and 802,780 is: 1,748,330.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,612 : 802,780 = 802,780 : x
  2. Step 2: Convert to fraction form
    368,612/802,780 = 802,780/x
  3. Step 3: Cross multiply
    368,612x = 802,780 × 802,780
  4. Step 4: Simplify right side
    368,612x = 644,455,728,400
  5. Step 5: Solve for x
    x = 644,455,728,400/368,612
  6. Step 6: Final answer
    x = 1,748,330.84

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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.