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Finding the Third Proportional to 371,664.75 and 811,585.31

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Solution

The third proportional to 371,664.75 and 811,585.31 is: 1,772,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,664.75 : 811,585.31 = 811,585.31 : x
  2. Step 2: Convert to fraction form
    371,664.75/811,585.31 = 811,585.31/x
  3. Step 3: Cross multiply
    371,664.75x = 811,585.31 × 811,585.31
  4. Step 4: Simplify right side
    371,664.75x = 658,670,719,465.72
  5. Step 5: Solve for x
    x = 658,670,719,465.72/371,664.75
  6. Step 6: Final answer
    x = 1,772,217.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.