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Finding the Third Proportional to 390,048.75 and 838,295.25

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Solution

The third proportional to 390,048.75 and 838,295.25 is: 1,801,669.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,048.75 : 838,295.25 = 838,295.25 : x
  2. Step 2: Convert to fraction form
    390,048.75/838,295.25 = 838,295.25/x
  3. Step 3: Cross multiply
    390,048.75x = 838,295.25 × 838,295.25
  4. Step 4: Simplify right side
    390,048.75x = 702,738,926,172.56
  5. Step 5: Solve for x
    x = 702,738,926,172.56/390,048.75
  6. Step 6: Final answer
    x = 1,801,669.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.