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Finding the Third Proportional to 402,079.10 and 836,835.05

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Solution

The third proportional to 402,079.10 and 836,835.05 is: 1,741,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,079.10 : 836,835.05 = 836,835.05 : x
  2. Step 2: Convert to fraction form
    402,079.10/836,835.05 = 836,835.05/x
  3. Step 3: Cross multiply
    402,079.10x = 836,835.05 × 836,835.05
  4. Step 4: Simplify right side
    402,079.10x = 700,292,895,678.28
  5. Step 5: Solve for x
    x = 700,292,895,678.28/402,079.10
  6. Step 6: Final answer
    x = 1,741,679.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.