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Finding the Third Proportional to 1,385,832 and 3,036,480

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Solution

The third proportional to 1,385,832 and 3,036,480 is: 6,653,195.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385,832 : 3,036,480 = 3,036,480 : x
  2. Step 2: Convert to fraction form
    1,385,832/3,036,480 = 3,036,480/x
  3. Step 3: Cross multiply
    1,385,832x = 3,036,480 × 3,036,480
  4. Step 4: Simplify right side
    1,385,832x = 9,220,210,790,400
  5. Step 5: Solve for x
    x = 9,220,210,790,400/1,385,832
  6. Step 6: Final answer
    x = 6,653,195.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.