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Finding the Third Proportional to 66,111,610 and 142,846,208

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Solution

The third proportional to 66,111,610 and 142,846,208 is: 308,645,321.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,111,610 : 142,846,208 = 142,846,208 : x
  2. Step 2: Convert to fraction form
    66,111,610/142,846,208 = 142,846,208/x
  3. Step 3: Cross multiply
    66,111,610x = 142,846,208 × 142,846,208
  4. Step 4: Simplify right side
    66,111,610x = 20,405,039,139,979,264
  5. Step 5: Solve for x
    x = 20,405,039,139,979,264/66,111,610
  6. Step 6: Final answer
    x = 308,645,321.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.