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Finding the Third Proportional to 684,512 and 1,649,072

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Solution

The third proportional to 684,512 and 1,649,072 is: 3,972,813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,512 : 1,649,072 = 1,649,072 : x
  2. Step 2: Convert to fraction form
    684,512/1,649,072 = 1,649,072/x
  3. Step 3: Cross multiply
    684,512x = 1,649,072 × 1,649,072
  4. Step 4: Simplify right side
    684,512x = 2,719,438,461,184
  5. Step 5: Solve for x
    x = 2,719,438,461,184/684,512
  6. Step 6: Final answer
    x = 3,972,813.42

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.