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Finding the Third Proportional to 208,718.63 and 317,060.44

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Solution

The third proportional to 208,718.63 and 317,060.44 is: 481,640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,718.63 : 317,060.44 = 317,060.44 : x
  2. Step 2: Convert to fraction form
    208,718.63/317,060.44 = 317,060.44/x
  3. Step 3: Cross multiply
    208,718.63x = 317,060.44 × 317,060.44
  4. Step 4: Simplify right side
    208,718.63x = 100,527,321,027.69
  5. Step 5: Solve for x
    x = 100,527,321,027.69/208,718.63
  6. Step 6: Final answer
    x = 481,640.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.