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Finding the Third Proportional to 285,438.38 and 621,731.25

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Solution

The third proportional to 285,438.38 and 621,731.25 is: 1,354,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,438.38 : 621,731.25 = 621,731.25 : x
  2. Step 2: Convert to fraction form
    285,438.38/621,731.25 = 621,731.25/x
  3. Step 3: Cross multiply
    285,438.38x = 621,731.25 × 621,731.25
  4. Step 4: Simplify right side
    285,438.38x = 386,549,747,226.56
  5. Step 5: Solve for x
    x = 386,549,747,226.56/285,438.38
  6. Step 6: Final answer
    x = 1,354,231.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.