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Finding the Third Proportional to 284,316.44 and 618,452.56

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Solution

The third proportional to 284,316.44 and 618,452.56 is: 1,345,274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,316.44 : 618,452.56 = 618,452.56 : x
  2. Step 2: Convert to fraction form
    284,316.44/618,452.56 = 618,452.56/x
  3. Step 3: Cross multiply
    284,316.44x = 618,452.56 × 618,452.56
  4. Step 4: Simplify right side
    284,316.44x = 382,483,572,062.82
  5. Step 5: Solve for x
    x = 382,483,572,062.82/284,316.44
  6. Step 6: Final answer
    x = 1,345,274.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.