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Finding the Third Proportional to 387,615,780 and 581,707,161

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Solution

The third proportional to 387,615,780 and 581,707,161 is: 872,986,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,615,780 : 581,707,161 = 581,707,161 : x
  2. Step 2: Convert to fraction form
    387,615,780/581,707,161 = 581,707,161/x
  3. Step 3: Cross multiply
    387,615,780x = 581,707,161 × 581,707,161
  4. Step 4: Simplify right side
    387,615,780x = 338,383,221,158,679,936
  5. Step 5: Solve for x
    x = 338,383,221,158,679,936/387,615,780
  6. Step 6: Final answer
    x = 872,986,185.34

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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.