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Finding the Third Proportional to 138,179,999,902 and 212,298,297,928

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Solution

The third proportional to 138,179,999,902 and 212,298,297,928 is: 326,172,871,146.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,179,999,902 : 212,298,297,928 = 212,298,297,928 : x
  2. Step 2: Convert to fraction form
    138,179,999,902/212,298,297,928 = 212,298,297,928/x
  3. Step 3: Cross multiply
    138,179,999,902x = 212,298,297,928 × 212,298,297,928
  4. Step 4: Simplify right side
    138,179,999,902x = 45,070,567,303,125,846,196,224
  5. Step 5: Solve for x
    x = 45,070,567,303,125,846,196,224/138,179,999,902
  6. Step 6: Final answer
    x = 326,172,871,146.99

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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.