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Finding the Third Proportional to 66,333,969 and 143,533,431

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Solution

The third proportional to 66,333,969 and 143,533,431 is: 310,577,613.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,333,969 : 143,533,431 = 143,533,431 : x
  2. Step 2: Convert to fraction form
    66,333,969/143,533,431 = 143,533,431/x
  3. Step 3: Cross multiply
    66,333,969x = 143,533,431 × 143,533,431
  4. Step 4: Simplify right side
    66,333,969x = 20,601,845,814,631,760
  5. Step 5: Solve for x
    x = 20,601,845,814,631,760/66,333,969
  6. Step 6: Final answer
    x = 310,577,613.93

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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.