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Finding the Third Proportional to 101,740,128 and 220,369,728

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Solution

The third proportional to 101,740,128 and 220,369,728 is: 477,322,153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,740,128 : 220,369,728 = 220,369,728 : x
  2. Step 2: Convert to fraction form
    101,740,128/220,369,728 = 220,369,728/x
  3. Step 3: Cross multiply
    101,740,128x = 220,369,728 × 220,369,728
  4. Step 4: Simplify right side
    101,740,128x = 48,562,817,018,793,984
  5. Step 5: Solve for x
    x = 48,562,817,018,793,984/101,740,128
  6. Step 6: Final answer
    x = 477,322,153.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.