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Finding the Third Proportional to 100,580 and 209,427.50

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Solution

The third proportional to 100,580 and 209,427.50 is: 436,069.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,580 : 209,427.50 = 209,427.50 : x
  2. Step 2: Convert to fraction form
    100,580/209,427.50 = 209,427.50/x
  3. Step 3: Cross multiply
    100,580x = 209,427.50 × 209,427.50
  4. Step 4: Simplify right side
    100,580x = 43,859,877,756.25
  5. Step 5: Solve for x
    x = 43,859,877,756.25/100,580
  6. Step 6: Final answer
    x = 436,069.57

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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.