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Finding the Third Proportional to 100,260 and 208,812.50

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Solution

The third proportional to 100,260 and 208,812.50 is: 434,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,260 : 208,812.50 = 208,812.50 : x
  2. Step 2: Convert to fraction form
    100,260/208,812.50 = 208,812.50/x
  3. Step 3: Cross multiply
    100,260x = 208,812.50 × 208,812.50
  4. Step 4: Simplify right side
    100,260x = 43,602,660,156.25
  5. Step 5: Solve for x
    x = 43,602,660,156.25/100,260
  6. Step 6: Final answer
    x = 434,895.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.