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Finding the Third Proportional to 810.05 and 1,777.03

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Solution

The third proportional to 810.05 and 1,777.03 is: 3,898.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.05 : 1,777.03 = 1,777.03 : x
  2. Step 2: Convert to fraction form
    810.05/1,777.03 = 1,777.03/x
  3. Step 3: Cross multiply
    810.05x = 1,777.03 × 1,777.03
  4. Step 4: Simplify right side
    810.05x = 3,157,840.06
  5. Step 5: Solve for x
    x = 3,157,840.06/810.05
  6. Step 6: Final answer
    x = 3,898.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.