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Finding the Third Proportional to 869,400 and 1,278,112.50

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Solution

The third proportional to 869,400 and 1,278,112.50 is: 1,878,964.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,400 : 1,278,112.50 = 1,278,112.50 : x
  2. Step 2: Convert to fraction form
    869,400/1,278,112.50 = 1,278,112.50/x
  3. Step 3: Cross multiply
    869,400x = 1,278,112.50 × 1,278,112.50
  4. Step 4: Simplify right side
    869,400x = 1,633,571,562,656.25
  5. Step 5: Solve for x
    x = 1,633,571,562,656.25/869,400
  6. Step 6: Final answer
    x = 1,878,964.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.