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Finding the Third Proportional to 815,969 and 1,258,209

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Solution

The third proportional to 815,969 and 1,258,209 is: 1,940,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,969 : 1,258,209 = 1,258,209 : x
  2. Step 2: Convert to fraction form
    815,969/1,258,209 = 1,258,209/x
  3. Step 3: Cross multiply
    815,969x = 1,258,209 × 1,258,209
  4. Step 4: Simplify right side
    815,969x = 1,583,089,887,681
  5. Step 5: Solve for x
    x = 1,583,089,887,681/815,969
  6. Step 6: Final answer
    x = 1,940,134.84

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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.