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Finding the Third Proportional to 262,477.13 and 418,638.38

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Solution

The third proportional to 262,477.13 and 418,638.38 is: 667,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,477.13 : 418,638.38 = 418,638.38 : x
  2. Step 2: Convert to fraction form
    262,477.13/418,638.38 = 418,638.38/x
  3. Step 3: Cross multiply
    262,477.13x = 418,638.38 × 418,638.38
  4. Step 4: Simplify right side
    262,477.13x = 175,258,089,022.64
  5. Step 5: Solve for x
    x = 175,258,089,022.64/262,477.13
  6. Step 6: Final answer
    x = 667,708.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.