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Finding the Third Proportional to 66,333,978 and 143,533,449

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Solution

The third proportional to 66,333,978 and 143,533,449 is: 310,577,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,333,978 : 143,533,449 = 143,533,449 : x
  2. Step 2: Convert to fraction form
    66,333,978/143,533,449 = 143,533,449/x
  3. Step 3: Cross multiply
    66,333,978x = 143,533,449 × 143,533,449
  4. Step 4: Simplify right side
    66,333,978x = 20,601,850,981,835,600
  5. Step 5: Solve for x
    x = 20,601,850,981,835,600/66,333,978
  6. Step 6: Final answer
    x = 310,577,649.69

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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.