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Finding the Third Proportional to 640,773.50 and 901,205

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Solution

The third proportional to 640,773.50 and 901,205 is: 1,267,484.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,773.50 : 901,205 = 901,205 : x
  2. Step 2: Convert to fraction form
    640,773.50/901,205 = 901,205/x
  3. Step 3: Cross multiply
    640,773.50x = 901,205 × 901,205
  4. Step 4: Simplify right side
    640,773.50x = 812,170,452,025
  5. Step 5: Solve for x
    x = 812,170,452,025/640,773.50
  6. Step 6: Final answer
    x = 1,267,484.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.