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Finding the Third Proportional to 66,295 and 100,405.50

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Solution

The third proportional to 66,295 and 100,405.50 is: 152,066.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,295 : 100,405.50 = 100,405.50 : x
  2. Step 2: Convert to fraction form
    66,295/100,405.50 = 100,405.50/x
  3. Step 3: Cross multiply
    66,295x = 100,405.50 × 100,405.50
  4. Step 4: Simplify right side
    66,295x = 10,081,264,430.25
  5. Step 5: Solve for x
    x = 10,081,264,430.25/66,295
  6. Step 6: Final answer
    x = 152,066.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.