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Finding the Third Proportional to 628,380,180 and 1,321,881,565.50

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Solution

The third proportional to 628,380,180 and 1,321,881,565.50 is: 2,780,754,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,380,180 : 1,321,881,565.50 = 1,321,881,565.50 : x
  2. Step 2: Convert to fraction form
    628,380,180/1,321,881,565.50 = 1,321,881,565.50/x
  3. Step 3: Cross multiply
    628,380,180x = 1,321,881,565.50 × 1,321,881,565.50
  4. Step 4: Simplify right side
    628,380,180x = 1,747,370,873,208,730,880
  5. Step 5: Solve for x
    x = 1,747,370,873,208,730,880/628,380,180
  6. Step 6: Final answer
    x = 2,780,754,277.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.