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Finding the Third Proportional to 97,543 and 209,639

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Solution

The third proportional to 97,543 and 209,639 is: 450,555.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,543 : 209,639 = 209,639 : x
  2. Step 2: Convert to fraction form
    97,543/209,639 = 209,639/x
  3. Step 3: Cross multiply
    97,543x = 209,639 × 209,639
  4. Step 4: Simplify right side
    97,543x = 43,948,510,321
  5. Step 5: Solve for x
    x = 43,948,510,321/97,543
  6. Step 6: Final answer
    x = 450,555.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.