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Finding the Third Proportional to 178,045.88 and 420,296.63

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Solution

The third proportional to 178,045.88 and 420,296.63 is: 992,155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,045.88 : 420,296.63 = 420,296.63 : x
  2. Step 2: Convert to fraction form
    178,045.88/420,296.63 = 420,296.63/x
  3. Step 3: Cross multiply
    178,045.88x = 420,296.63 × 420,296.63
  4. Step 4: Simplify right side
    178,045.88x = 176,649,252,986.39
  5. Step 5: Solve for x
    x = 176,649,252,986.39/178,045.88
  6. Step 6: Final answer
    x = 992,155.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.