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Finding the Third Proportional to 100,603.13 and 209,470.50

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Solution

The third proportional to 100,603.13 and 209,470.50 is: 436,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,603.13 : 209,470.50 = 209,470.50 : x
  2. Step 2: Convert to fraction form
    100,603.13/209,470.50 = 209,470.50/x
  3. Step 3: Cross multiply
    100,603.13x = 209,470.50 × 209,470.50
  4. Step 4: Simplify right side
    100,603.13x = 43,877,890,370.25
  5. Step 5: Solve for x
    x = 43,877,890,370.25/100,603.13
  6. Step 6: Final answer
    x = 436,148.38

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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.