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Finding the Third Proportional to 66,541,226 and 145,605,212

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Solution

The third proportional to 66,541,226 and 145,605,212 is: 318,612,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,541,226 : 145,605,212 = 145,605,212 : x
  2. Step 2: Convert to fraction form
    66,541,226/145,605,212 = 145,605,212/x
  3. Step 3: Cross multiply
    66,541,226x = 145,605,212 × 145,605,212
  4. Step 4: Simplify right side
    66,541,226x = 21,200,877,761,564,944
  5. Step 5: Solve for x
    x = 21,200,877,761,564,944/66,541,226
  6. Step 6: Final answer
    x = 318,612,671.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.