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Finding the Third Proportional to 539,124,162.50 and 770,422,451.50

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Solution

The third proportional to 539,124,162.50 and 770,422,451.50 is: 1,100,953,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,124,162.50 : 770,422,451.50 = 770,422,451.50 : x
  2. Step 2: Convert to fraction form
    539,124,162.50/770,422,451.50 = 770,422,451.50/x
  3. Step 3: Cross multiply
    539,124,162.50x = 770,422,451.50 × 770,422,451.50
  4. Step 4: Simplify right side
    539,124,162.50x = 593,550,753,775,269,888
  5. Step 5: Solve for x
    x = 593,550,753,775,269,888/539,124,162.50
  6. Step 6: Final answer
    x = 1,100,953,722.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.