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Finding the Third Proportional to 205,354.50 and 449,421.38

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Solution

The third proportional to 205,354.50 and 449,421.38 is: 983,565.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,354.50 : 449,421.38 = 449,421.38 : x
  2. Step 2: Convert to fraction form
    205,354.50/449,421.38 = 449,421.38/x
  3. Step 3: Cross multiply
    205,354.50x = 449,421.38 × 449,421.38
  4. Step 4: Simplify right side
    205,354.50x = 201,979,572,306.89
  5. Step 5: Solve for x
    x = 201,979,572,306.89/205,354.50
  6. Step 6: Final answer
    x = 983,565.36

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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.