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Finding the Third Proportional to 896,168 and 1,419,726

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Solution

The third proportional to 896,168 and 1,419,726 is: 2,249,156.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,168 : 1,419,726 = 1,419,726 : x
  2. Step 2: Convert to fraction form
    896,168/1,419,726 = 1,419,726/x
  3. Step 3: Cross multiply
    896,168x = 1,419,726 × 1,419,726
  4. Step 4: Simplify right side
    896,168x = 2,015,621,915,076
  5. Step 5: Solve for x
    x = 2,015,621,915,076/896,168
  6. Step 6: Final answer
    x = 2,249,156.31

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.