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Finding the Third Proportional to 312,145 and 673,538

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Solution

The third proportional to 312,145 and 673,538 is: 1,453,342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,145 : 673,538 = 673,538 : x
  2. Step 2: Convert to fraction form
    312,145/673,538 = 673,538/x
  3. Step 3: Cross multiply
    312,145x = 673,538 × 673,538
  4. Step 4: Simplify right side
    312,145x = 453,653,437,444
  5. Step 5: Solve for x
    x = 453,653,437,444/312,145
  6. Step 6: Final answer
    x = 1,453,342.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.