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Finding the Third Proportional to 293,131,062 and 446,573,684.25

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Solution

The third proportional to 293,131,062 and 446,573,684.25 is: 680,337,505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,131,062 : 446,573,684.25 = 446,573,684.25 : x
  2. Step 2: Convert to fraction form
    293,131,062/446,573,684.25 = 446,573,684.25/x
  3. Step 3: Cross multiply
    293,131,062x = 446,573,684.25 × 446,573,684.25
  4. Step 4: Simplify right side
    293,131,062x = 199,428,055,464,618,688
  5. Step 5: Solve for x
    x = 199,428,055,464,618,688/293,131,062
  6. Step 6: Final answer
    x = 680,337,505.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.