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Finding the Third Proportional to 907,400 and 1,392,823

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Solution

The third proportional to 907,400 and 1,392,823 is: 2,137,928.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    907,400 : 1,392,823 = 1,392,823 : x
  2. Step 2: Convert to fraction form
    907,400/1,392,823 = 1,392,823/x
  3. Step 3: Cross multiply
    907,400x = 1,392,823 × 1,392,823
  4. Step 4: Simplify right side
    907,400x = 1,939,955,909,329
  5. Step 5: Solve for x
    x = 1,939,955,909,329/907,400
  6. Step 6: Final answer
    x = 2,137,928.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.