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Finding the Third Proportional to 110,804,282,913 and 224,691,824,427

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Solution

The third proportional to 110,804,282,913 and 224,691,824,427 is: 455,635,961,328.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,804,282,913 : 224,691,824,427 = 224,691,824,427 : x
  2. Step 2: Convert to fraction form
    110,804,282,913/224,691,824,427 = 224,691,824,427/x
  3. Step 3: Cross multiply
    110,804,282,913x = 224,691,824,427 × 224,691,824,427
  4. Step 4: Simplify right side
    110,804,282,913x = 50,486,415,964,333,792,034,816
  5. Step 5: Solve for x
    x = 50,486,415,964,333,792,034,816/110,804,282,913
  6. Step 6: Final answer
    x = 455,635,961,328.08

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.