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Finding the Third Proportional to 51,090.75 and 64,640.53

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Solution

The third proportional to 51,090.75 and 64,640.53 is: 81,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,090.75 : 64,640.53 = 64,640.53 : x
  2. Step 2: Convert to fraction form
    51,090.75/64,640.53 = 64,640.53/x
  3. Step 3: Cross multiply
    51,090.75x = 64,640.53 × 64,640.53
  4. Step 4: Simplify right side
    51,090.75x = 4,178,398,280.28
  5. Step 5: Solve for x
    x = 4,178,398,280.28/51,090.75
  6. Step 6: Final answer
    x = 81,783.85

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.