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Finding the Third Proportional to 405,846,468.04 and 627,407,081.12

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Solution

The third proportional to 405,846,468.04 and 627,407,081.12 is: 969,922,560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,846,468.04 : 627,407,081.12 = 627,407,081.12 : x
  2. Step 2: Convert to fraction form
    405,846,468.04/627,407,081.12 = 627,407,081.12/x
  3. Step 3: Cross multiply
    405,846,468.04x = 627,407,081.12 × 627,407,081.12
  4. Step 4: Simplify right side
    405,846,468.04x = 393,639,645,440,886,080
  5. Step 5: Solve for x
    x = 393,639,645,440,886,080/405,846,468.04
  6. Step 6: Final answer
    x = 969,922,560.49

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.