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Finding the Third Proportional to 98,338,848 and 212,433,888

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Solution

The third proportional to 98,338,848 and 212,433,888 is: 458,904,671.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,338,848 : 212,433,888 = 212,433,888 : x
  2. Step 2: Convert to fraction form
    98,338,848/212,433,888 = 212,433,888/x
  3. Step 3: Cross multiply
    98,338,848x = 212,433,888 × 212,433,888
  4. Step 4: Simplify right side
    98,338,848x = 45,128,156,770,796,544
  5. Step 5: Solve for x
    x = 45,128,156,770,796,544/98,338,848
  6. Step 6: Final answer
    x = 458,904,671.84

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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.