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Finding the Third Proportional to 636,223.50 and 836,217

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Solution

The third proportional to 636,223.50 and 836,217 is: 1,099,077.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    636,223.50 : 836,217 = 836,217 : x
  2. Step 2: Convert to fraction form
    636,223.50/836,217 = 836,217/x
  3. Step 3: Cross multiply
    636,223.50x = 836,217 × 836,217
  4. Step 4: Simplify right side
    636,223.50x = 699,258,871,089
  5. Step 5: Solve for x
    x = 699,258,871,089/636,223.50
  6. Step 6: Final answer
    x = 1,099,077.40

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.