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Finding the Third Proportional to 258,751,737 and 561,161,457

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Solution

The third proportional to 258,751,737 and 561,161,457 is: 1,217,005,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,751,737 : 561,161,457 = 561,161,457 : x
  2. Step 2: Convert to fraction form
    258,751,737/561,161,457 = 561,161,457/x
  3. Step 3: Cross multiply
    258,751,737x = 561,161,457 × 561,161,457
  4. Step 4: Simplify right side
    258,751,737x = 314,902,180,822,362,880
  5. Step 5: Solve for x
    x = 314,902,180,822,362,880/258,751,737
  6. Step 6: Final answer
    x = 1,217,005,089.41

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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.