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Finding the Third Proportional to 358,044.75 and 779,998.50

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Solution

The third proportional to 358,044.75 and 779,998.50 is: 1,699,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,044.75 : 779,998.50 = 779,998.50 : x
  2. Step 2: Convert to fraction form
    358,044.75/779,998.50 = 779,998.50/x
  3. Step 3: Cross multiply
    358,044.75x = 779,998.50 × 779,998.50
  4. Step 4: Simplify right side
    358,044.75x = 608,397,660,002.25
  5. Step 5: Solve for x
    x = 608,397,660,002.25/358,044.75
  6. Step 6: Final answer
    x = 1,699,222.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.