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Finding the Third Proportional to 189,207,232 and 407,947,712

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Solution

The third proportional to 189,207,232 and 407,947,712 is: 879,571,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,207,232 : 407,947,712 = 407,947,712 : x
  2. Step 2: Convert to fraction form
    189,207,232/407,947,712 = 407,947,712/x
  3. Step 3: Cross multiply
    189,207,232x = 407,947,712 × 407,947,712
  4. Step 4: Simplify right side
    189,207,232x = 166,421,335,726,034,944
  5. Step 5: Solve for x
    x = 166,421,335,726,034,944/189,207,232
  6. Step 6: Final answer
    x = 879,571,747.69

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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.