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Finding the Third Proportional to 100,784.25 and 145,687.50

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Solution

The third proportional to 100,784.25 and 145,687.50 is: 210,596.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,784.25 : 145,687.50 = 145,687.50 : x
  2. Step 2: Convert to fraction form
    100,784.25/145,687.50 = 145,687.50/x
  3. Step 3: Cross multiply
    100,784.25x = 145,687.50 × 145,687.50
  4. Step 4: Simplify right side
    100,784.25x = 21,224,847,656.25
  5. Step 5: Solve for x
    x = 21,224,847,656.25/100,784.25
  6. Step 6: Final answer
    x = 210,596.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.