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Finding the Third Proportional to 136,497 and 210,577.50

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Solution

The third proportional to 136,497 and 210,577.50 is: 324,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,497 : 210,577.50 = 210,577.50 : x
  2. Step 2: Convert to fraction form
    136,497/210,577.50 = 210,577.50/x
  3. Step 3: Cross multiply
    136,497x = 210,577.50 × 210,577.50
  4. Step 4: Simplify right side
    136,497x = 44,342,883,506.25
  5. Step 5: Solve for x
    x = 44,342,883,506.25/136,497
  6. Step 6: Final answer
    x = 324,863.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.