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Finding the Third Proportional to 784,858 and 1,215,015

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Solution

The third proportional to 784,858 and 1,215,015 is: 1,880,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,858 : 1,215,015 = 1,215,015 : x
  2. Step 2: Convert to fraction form
    784,858/1,215,015 = 1,215,015/x
  3. Step 3: Cross multiply
    784,858x = 1,215,015 × 1,215,015
  4. Step 4: Simplify right side
    784,858x = 1,476,261,450,225
  5. Step 5: Solve for x
    x = 1,476,261,450,225/784,858
  6. Step 6: Final answer
    x = 1,880,928.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.