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Finding the Third Proportional to 66,324,278 and 142,726,252

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Solution

The third proportional to 66,324,278 and 142,726,252 is: 307,139,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,324,278 : 142,726,252 = 142,726,252 : x
  2. Step 2: Convert to fraction form
    66,324,278/142,726,252 = 142,726,252/x
  3. Step 3: Cross multiply
    66,324,278x = 142,726,252 × 142,726,252
  4. Step 4: Simplify right side
    66,324,278x = 20,370,783,009,967,504
  5. Step 5: Solve for x
    x = 20,370,783,009,967,504/66,324,278
  6. Step 6: Final answer
    x = 307,139,159.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.