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Finding the Third Proportional to 161,574,720 and 255,888,906

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Solution

The third proportional to 161,574,720 and 255,888,906 is: 405,256,046.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,574,720 : 255,888,906 = 255,888,906 : x
  2. Step 2: Convert to fraction form
    161,574,720/255,888,906 = 255,888,906/x
  3. Step 3: Cross multiply
    161,574,720x = 255,888,906 × 255,888,906
  4. Step 4: Simplify right side
    161,574,720x = 65,479,132,213,876,832
  5. Step 5: Solve for x
    x = 65,479,132,213,876,832/161,574,720
  6. Step 6: Final answer
    x = 405,256,046.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.