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Finding the Third Proportional to 703,447.88 and 1,089,920.81

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Solution

The third proportional to 703,447.88 and 1,089,920.81 is: 1,688,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,447.88 : 1,089,920.81 = 1,089,920.81 : x
  2. Step 2: Convert to fraction form
    703,447.88/1,089,920.81 = 1,089,920.81/x
  3. Step 3: Cross multiply
    703,447.88x = 1,089,920.81 × 1,089,920.81
  4. Step 4: Simplify right side
    703,447.88x = 1,187,927,377,520.66
  5. Step 5: Solve for x
    x = 1,187,927,377,520.66/703,447.88
  6. Step 6: Final answer
    x = 1,688,721.25

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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.