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Finding the Third Proportional to 101,354,346 and 221,286,983

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Solution

The third proportional to 101,354,346 and 221,286,983 is: 483,135,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,354,346 : 221,286,983 = 221,286,983 : x
  2. Step 2: Convert to fraction form
    101,354,346/221,286,983 = 221,286,983/x
  3. Step 3: Cross multiply
    101,354,346x = 221,286,983 × 221,286,983
  4. Step 4: Simplify right side
    101,354,346x = 48,967,928,845,242,288
  5. Step 5: Solve for x
    x = 48,967,928,845,242,288/101,354,346
  6. Step 6: Final answer
    x = 483,135,955.96

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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.