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Finding the Third Proportional to 135,461 and 210,947.50

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Solution

The third proportional to 135,461 and 210,947.50 is: 328,499.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,461 : 210,947.50 = 210,947.50 : x
  2. Step 2: Convert to fraction form
    135,461/210,947.50 = 210,947.50/x
  3. Step 3: Cross multiply
    135,461x = 210,947.50 × 210,947.50
  4. Step 4: Simplify right side
    135,461x = 44,498,847,756.25
  5. Step 5: Solve for x
    x = 44,498,847,756.25/135,461
  6. Step 6: Final answer
    x = 328,499.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.