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Finding the Third Proportional to 101,393,768 and 218,949,040

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Solution

The third proportional to 101,393,768 and 218,949,040 is: 472,797,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,393,768 : 218,949,040 = 218,949,040 : x
  2. Step 2: Convert to fraction form
    101,393,768/218,949,040 = 218,949,040/x
  3. Step 3: Cross multiply
    101,393,768x = 218,949,040 × 218,949,040
  4. Step 4: Simplify right side
    101,393,768x = 47,938,682,116,921,600
  5. Step 5: Solve for x
    x = 47,938,682,116,921,600/101,393,768
  6. Step 6: Final answer
    x = 472,797,126.12

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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.