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Finding the Third Proportional to 282,030 and 619,878

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Solution

The third proportional to 282,030 and 619,878 is: 1,362,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,030 : 619,878 = 619,878 : x
  2. Step 2: Convert to fraction form
    282,030/619,878 = 619,878/x
  3. Step 3: Cross multiply
    282,030x = 619,878 × 619,878
  4. Step 4: Simplify right side
    282,030x = 384,248,734,884
  5. Step 5: Solve for x
    x = 384,248,734,884/282,030
  6. Step 6: Final answer
    x = 1,362,439.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.