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Finding the Third Proportional to 138,179,999,888 and 212,298,297,906

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Solution

The third proportional to 138,179,999,888 and 212,298,297,906 is: 326,172,871,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,179,999,888 : 212,298,297,906 = 212,298,297,906 : x
  2. Step 2: Convert to fraction form
    138,179,999,888/212,298,297,906 = 212,298,297,906/x
  3. Step 3: Cross multiply
    138,179,999,888x = 212,298,297,906 × 212,298,297,906
  4. Step 4: Simplify right side
    138,179,999,888x = 45,070,567,293,784,720,146,432
  5. Step 5: Solve for x
    x = 45,070,567,293,784,720,146,432/138,179,999,888
  6. Step 6: Final answer
    x = 326,172,871,112.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.