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Finding the Third Proportional to 883,342,497 and 1,858,066,601

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Solution

The third proportional to 883,342,497 and 1,858,066,601 is: 3,908,349,825.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    883,342,497 : 1,858,066,601 = 1,858,066,601 : x
  2. Step 2: Convert to fraction form
    883,342,497/1,858,066,601 = 1,858,066,601/x
  3. Step 3: Cross multiply
    883,342,497x = 1,858,066,601 × 1,858,066,601
  4. Step 4: Simplify right side
    883,342,497x = 3,452,411,493,751,693,312
  5. Step 5: Solve for x
    x = 3,452,411,493,751,693,312/883,342,497
  6. Step 6: Final answer
    x = 3,908,349,825.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.