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Finding the Third Proportional to 66,037,275 and 136,740,150

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Solution

The third proportional to 66,037,275 and 136,740,150 is: 283,141,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,037,275 : 136,740,150 = 136,740,150 : x
  2. Step 2: Convert to fraction form
    66,037,275/136,740,150 = 136,740,150/x
  3. Step 3: Cross multiply
    66,037,275x = 136,740,150 × 136,740,150
  4. Step 4: Simplify right side
    66,037,275x = 18,697,868,622,022,500
  5. Step 5: Solve for x
    x = 18,697,868,622,022,500/66,037,275
  6. Step 6: Final answer
    x = 283,141,129.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.