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Finding the Third Proportional to 77,734.50 and 209,175.50

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Solution

The third proportional to 77,734.50 and 209,175.50 is: 562,869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,734.50 : 209,175.50 = 209,175.50 : x
  2. Step 2: Convert to fraction form
    77,734.50/209,175.50 = 209,175.50/x
  3. Step 3: Cross multiply
    77,734.50x = 209,175.50 × 209,175.50
  4. Step 4: Simplify right side
    77,734.50x = 43,754,389,800.25
  5. Step 5: Solve for x
    x = 43,754,389,800.25/77,734.50
  6. Step 6: Final answer
    x = 562,869.64

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.