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Finding the Third Proportional to 258,751,732.50 and 561,161,445.75

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Solution

The third proportional to 258,751,732.50 and 561,161,445.75 is: 1,217,005,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,751,732.50 : 561,161,445.75 = 561,161,445.75 : x
  2. Step 2: Convert to fraction form
    258,751,732.50/561,161,445.75 = 561,161,445.75/x
  3. Step 3: Cross multiply
    258,751,732.50x = 561,161,445.75 × 561,161,445.75
  4. Step 4: Simplify right side
    258,751,732.50x = 314,902,168,196,230,208
  5. Step 5: Solve for x
    x = 314,902,168,196,230,208/258,751,732.50
  6. Step 6: Final answer
    x = 1,217,005,061.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.