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Finding the Third Proportional to 280,277.72 and 657,996.54

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Solution

The third proportional to 280,277.72 and 657,996.54 is: 1,544,751.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,277.72 : 657,996.54 = 657,996.54 : x
  2. Step 2: Convert to fraction form
    280,277.72/657,996.54 = 657,996.54/x
  3. Step 3: Cross multiply
    280,277.72x = 657,996.54 × 657,996.54
  4. Step 4: Simplify right side
    280,277.72x = 432,959,445,418.23
  5. Step 5: Solve for x
    x = 432,959,445,418.23/280,277.72
  6. Step 6: Final answer
    x = 1,544,751.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.