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Finding the Third Proportional to 703,460 and 1,089,939

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Solution

The third proportional to 703,460 and 1,089,939 is: 1,688,748.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,460 : 1,089,939 = 1,089,939 : x
  2. Step 2: Convert to fraction form
    703,460/1,089,939 = 1,089,939/x
  3. Step 3: Cross multiply
    703,460x = 1,089,939 × 1,089,939
  4. Step 4: Simplify right side
    703,460x = 1,187,967,023,721
  5. Step 5: Solve for x
    x = 1,187,967,023,721/703,460
  6. Step 6: Final answer
    x = 1,688,748.51

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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.