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Finding the Third Proportional to 199,707.75 and 434,407.50

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Solution

The third proportional to 199,707.75 and 434,407.50 is: 944,930.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,707.75 : 434,407.50 = 434,407.50 : x
  2. Step 2: Convert to fraction form
    199,707.75/434,407.50 = 434,407.50/x
  3. Step 3: Cross multiply
    199,707.75x = 434,407.50 × 434,407.50
  4. Step 4: Simplify right side
    199,707.75x = 188,709,876,056.25
  5. Step 5: Solve for x
    x = 188,709,876,056.25/199,707.75
  6. Step 6: Final answer
    x = 944,930.16

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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.