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Finding the Third Proportional to 189,153,040 and 407,485,520

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Solution

The third proportional to 189,153,040 and 407,485,520 is: 877,831,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,153,040 : 407,485,520 = 407,485,520 : x
  2. Step 2: Convert to fraction form
    189,153,040/407,485,520 = 407,485,520/x
  3. Step 3: Cross multiply
    189,153,040x = 407,485,520 × 407,485,520
  4. Step 4: Simplify right side
    189,153,040x = 166,044,449,009,670,400
  5. Step 5: Solve for x
    x = 166,044,449,009,670,400/189,153,040
  6. Step 6: Final answer
    x = 877,831,247.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.