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Finding the Third Proportional to 208,355.06 and 315,437.34

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Solution

The third proportional to 208,355.06 and 315,437.34 is: 477,553.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,355.06 : 315,437.34 = 315,437.34 : x
  2. Step 2: Convert to fraction form
    208,355.06/315,437.34 = 315,437.34/x
  3. Step 3: Cross multiply
    208,355.06x = 315,437.34 × 315,437.34
  4. Step 4: Simplify right side
    208,355.06x = 99,500,717,832.06
  5. Step 5: Solve for x
    x = 99,500,717,832.06/208,355.06
  6. Step 6: Final answer
    x = 477,553.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.