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Finding the Third Proportional to 388,612.13 and 836,273.63

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Solution

The third proportional to 388,612.13 and 836,273.63 is: 1,799,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,612.13 : 836,273.63 = 836,273.63 : x
  2. Step 2: Convert to fraction form
    388,612.13/836,273.63 = 836,273.63/x
  3. Step 3: Cross multiply
    388,612.13x = 836,273.63 × 836,273.63
  4. Step 4: Simplify right side
    388,612.13x = 699,353,575,870.64
  5. Step 5: Solve for x
    x = 699,353,575,870.64/388,612.13
  6. Step 6: Final answer
    x = 1,799,618.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.