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Finding the Third Proportional to 64,029,980 and 140,504,440

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Solution

The third proportional to 64,029,980 and 140,504,440 is: 308,316,473.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,029,980 : 140,504,440 = 140,504,440 : x
  2. Step 2: Convert to fraction form
    64,029,980/140,504,440 = 140,504,440/x
  3. Step 3: Cross multiply
    64,029,980x = 140,504,440 × 140,504,440
  4. Step 4: Simplify right side
    64,029,980x = 19,741,497,659,713,600
  5. Step 5: Solve for x
    x = 19,741,497,659,713,600/64,029,980
  6. Step 6: Final answer
    x = 308,316,473.93

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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.