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Finding the Third Proportional to 358,911.75 and 788,580.38

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Solution

The third proportional to 358,911.75 and 788,580.38 is: 1,732,623.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,911.75 : 788,580.38 = 788,580.38 : x
  2. Step 2: Convert to fraction form
    358,911.75/788,580.38 = 788,580.38/x
  3. Step 3: Cross multiply
    358,911.75x = 788,580.38 × 788,580.38
  4. Step 4: Simplify right side
    358,911.75x = 621,859,007,835.14
  5. Step 5: Solve for x
    x = 621,859,007,835.14/358,911.75
  6. Step 6: Final answer
    x = 1,732,623.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.