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Finding the Third Proportional to 299,258.50 and 645,993.50

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Solution

The third proportional to 299,258.50 and 645,993.50 is: 1,394,472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,258.50 : 645,993.50 = 645,993.50 : x
  2. Step 2: Convert to fraction form
    299,258.50/645,993.50 = 645,993.50/x
  3. Step 3: Cross multiply
    299,258.50x = 645,993.50 × 645,993.50
  4. Step 4: Simplify right side
    299,258.50x = 417,307,602,042.25
  5. Step 5: Solve for x
    x = 417,307,602,042.25/299,258.50
  6. Step 6: Final answer
    x = 1,394,472.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.