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Finding the Third Proportional to 178,295.06 and 420,463.69

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Solution

The third proportional to 178,295.06 and 420,463.69 is: 991,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,295.06 : 420,463.69 = 420,463.69 : x
  2. Step 2: Convert to fraction form
    178,295.06/420,463.69 = 420,463.69/x
  3. Step 3: Cross multiply
    178,295.06x = 420,463.69 × 420,463.69
  4. Step 4: Simplify right side
    178,295.06x = 176,789,712,506.10
  5. Step 5: Solve for x
    x = 176,789,712,506.10/178,295.06
  6. Step 6: Final answer
    x = 991,556.97

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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.