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Finding the Third Proportional to 407,409,836 and 646,177,218

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Solution

The third proportional to 407,409,836 and 646,177,218 is: 1,024,877,065.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,409,836 : 646,177,218 = 646,177,218 : x
  2. Step 2: Convert to fraction form
    407,409,836/646,177,218 = 646,177,218/x
  3. Step 3: Cross multiply
    407,409,836x = 646,177,218 × 646,177,218
  4. Step 4: Simplify right side
    407,409,836x = 417,544,997,062,219,520
  5. Step 5: Solve for x
    x = 417,544,997,062,219,520/407,409,836
  6. Step 6: Final answer
    x = 1,024,877,065.22

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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.