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Finding the Third Proportional to 258,609,160 and 387,535,445

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Solution

The third proportional to 258,609,160 and 387,535,445 is: 580,736,278.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,609,160 : 387,535,445 = 387,535,445 : x
  2. Step 2: Convert to fraction form
    258,609,160/387,535,445 = 387,535,445/x
  3. Step 3: Cross multiply
    258,609,160x = 387,535,445 × 387,535,445
  4. Step 4: Simplify right side
    258,609,160x = 150,183,721,131,348,032
  5. Step 5: Solve for x
    x = 150,183,721,131,348,032/258,609,160
  6. Step 6: Final answer
    x = 580,736,278.37

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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.