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Finding the Third Proportional to 427,345.13 and 911,894.25

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Solution

The third proportional to 427,345.13 and 911,894.25 is: 1,945,853.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,345.13 : 911,894.25 = 911,894.25 : x
  2. Step 2: Convert to fraction form
    427,345.13/911,894.25 = 911,894.25/x
  3. Step 3: Cross multiply
    427,345.13x = 911,894.25 × 911,894.25
  4. Step 4: Simplify right side
    427,345.13x = 831,551,123,183.06
  5. Step 5: Solve for x
    x = 831,551,123,183.06/427,345.13
  6. Step 6: Final answer
    x = 1,945,853.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.