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Finding the Third Proportional to 312,133.50 and 682,053

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Solution

The third proportional to 312,133.50 and 682,053 is: 1,490,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,133.50 : 682,053 = 682,053 : x
  2. Step 2: Convert to fraction form
    312,133.50/682,053 = 682,053/x
  3. Step 3: Cross multiply
    312,133.50x = 682,053 × 682,053
  4. Step 4: Simplify right side
    312,133.50x = 465,196,294,809
  5. Step 5: Solve for x
    x = 465,196,294,809/312,133.50
  6. Step 6: Final answer
    x = 1,490,376.06

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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.