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Finding the Third Proportional to 419,872,456 and 916,153,840

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Solution

The third proportional to 419,872,456 and 916,153,840 is: 1,999,030,530.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,872,456 : 916,153,840 = 916,153,840 : x
  2. Step 2: Convert to fraction form
    419,872,456/916,153,840 = 916,153,840/x
  3. Step 3: Cross multiply
    419,872,456x = 916,153,840 × 916,153,840
  4. Step 4: Simplify right side
    419,872,456x = 839,337,858,546,745,600
  5. Step 5: Solve for x
    x = 839,337,858,546,745,600/419,872,456
  6. Step 6: Final answer
    x = 1,999,030,530.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.