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Finding the Third Proportional to 842,143.50 and 1,294,454.25

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Solution

The third proportional to 842,143.50 and 1,294,454.25 is: 1,989,698.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,143.50 : 1,294,454.25 = 1,294,454.25 : x
  2. Step 2: Convert to fraction form
    842,143.50/1,294,454.25 = 1,294,454.25/x
  3. Step 3: Cross multiply
    842,143.50x = 1,294,454.25 × 1,294,454.25
  4. Step 4: Simplify right side
    842,143.50x = 1,675,611,805,343.06
  5. Step 5: Solve for x
    x = 1,675,611,805,343.06/842,143.50
  6. Step 6: Final answer
    x = 1,989,698.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.