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Finding the Third Proportional to 702,950 and 1,089,381

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Solution

The third proportional to 702,950 and 1,089,381 is: 1,688,243.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,950 : 1,089,381 = 1,089,381 : x
  2. Step 2: Convert to fraction form
    702,950/1,089,381 = 1,089,381/x
  3. Step 3: Cross multiply
    702,950x = 1,089,381 × 1,089,381
  4. Step 4: Simplify right side
    702,950x = 1,186,750,963,161
  5. Step 5: Solve for x
    x = 1,186,750,963,161/702,950
  6. Step 6: Final answer
    x = 1,688,243.78

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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.