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Finding the Third Proportional to 206,070.75 and 434,281.50

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Solution

The third proportional to 206,070.75 and 434,281.50 is: 915,221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,070.75 : 434,281.50 = 434,281.50 : x
  2. Step 2: Convert to fraction form
    206,070.75/434,281.50 = 434,281.50/x
  3. Step 3: Cross multiply
    206,070.75x = 434,281.50 × 434,281.50
  4. Step 4: Simplify right side
    206,070.75x = 188,600,421,242.25
  5. Step 5: Solve for x
    x = 188,600,421,242.25/206,070.75
  6. Step 6: Final answer
    x = 915,221.70

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.