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Finding the Third Proportional to 690,840 and 1,486,655

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Solution

The third proportional to 690,840 and 1,486,655 is: 3,199,211.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,840 : 1,486,655 = 1,486,655 : x
  2. Step 2: Convert to fraction form
    690,840/1,486,655 = 1,486,655/x
  3. Step 3: Cross multiply
    690,840x = 1,486,655 × 1,486,655
  4. Step 4: Simplify right side
    690,840x = 2,210,143,089,025
  5. Step 5: Solve for x
    x = 2,210,143,089,025/690,840
  6. Step 6: Final answer
    x = 3,199,211.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.