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Finding the Third Proportional to 354,658.50 and 554,123.53

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Solution

The third proportional to 354,658.50 and 554,123.53 is: 865,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,658.50 : 554,123.53 = 554,123.53 : x
  2. Step 2: Convert to fraction form
    354,658.50/554,123.53 = 554,123.53/x
  3. Step 3: Cross multiply
    354,658.50x = 554,123.53 × 554,123.53
  4. Step 4: Simplify right side
    354,658.50x = 307,052,887,884.97
  5. Step 5: Solve for x
    x = 307,052,887,884.97/354,658.50
  6. Step 6: Final answer
    x = 865,770.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.