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Finding the Third Proportional to 407,409,831 and 646,177,212

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Solution

The third proportional to 407,409,831 and 646,177,212 is: 1,024,877,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,409,831 : 646,177,212 = 646,177,212 : x
  2. Step 2: Convert to fraction form
    407,409,831/646,177,212 = 646,177,212/x
  3. Step 3: Cross multiply
    407,409,831x = 646,177,212 × 646,177,212
  4. Step 4: Simplify right side
    407,409,831x = 417,544,989,308,092,928
  5. Step 5: Solve for x
    x = 417,544,989,308,092,928/407,409,831
  6. Step 6: Final answer
    x = 1,024,877,058.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.