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Finding the Third Proportional to 258,609,132 and 387,535,407

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Solution

The third proportional to 258,609,132 and 387,535,407 is: 580,736,227.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,609,132 : 387,535,407 = 387,535,407 : x
  2. Step 2: Convert to fraction form
    258,609,132/387,535,407 = 387,535,407/x
  3. Step 3: Cross multiply
    258,609,132x = 387,535,407 × 387,535,407
  4. Step 4: Simplify right side
    258,609,132x = 150,183,691,678,655,648
  5. Step 5: Solve for x
    x = 150,183,691,678,655,648/258,609,132
  6. Step 6: Final answer
    x = 580,736,227.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.