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Finding the Third Proportional to 815,964.47 and 1,258,200.84

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Solution

The third proportional to 815,964.47 and 1,258,200.84 is: 1,940,120.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,964.47 : 1,258,200.84 = 1,258,200.84 : x
  2. Step 2: Convert to fraction form
    815,964.47/1,258,200.84 = 1,258,200.84/x
  3. Step 3: Cross multiply
    815,964.47x = 1,258,200.84 × 1,258,200.84
  4. Step 4: Simplify right side
    815,964.47x = 1,583,069,363,213.21
  5. Step 5: Solve for x
    x = 1,583,069,363,213.21/815,964.47
  6. Step 6: Final answer
    x = 1,940,120.46

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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.