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Finding the Third Proportional to 31,972,509 and 70,322,310

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Solution

The third proportional to 31,972,509 and 70,322,310 is: 154,671,229.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,972,509 : 70,322,310 = 70,322,310 : x
  2. Step 2: Convert to fraction form
    31,972,509/70,322,310 = 70,322,310/x
  3. Step 3: Cross multiply
    31,972,509x = 70,322,310 × 70,322,310
  4. Step 4: Simplify right side
    31,972,509x = 4,945,227,283,736,100
  5. Step 5: Solve for x
    x = 4,945,227,283,736,100/31,972,509
  6. Step 6: Final answer
    x = 154,671,229.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.