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Finding the Third Proportional to 449,536.50 and 956,283

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Solution

The third proportional to 449,536.50 and 956,283 is: 2,034,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,536.50 : 956,283 = 956,283 : x
  2. Step 2: Convert to fraction form
    449,536.50/956,283 = 956,283/x
  3. Step 3: Cross multiply
    449,536.50x = 956,283 × 956,283
  4. Step 4: Simplify right side
    449,536.50x = 914,477,176,089
  5. Step 5: Solve for x
    x = 914,477,176,089/449,536.50
  6. Step 6: Final answer
    x = 2,034,266.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.