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Finding the Third Proportional to 133,808 and 315,860

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Solution

The third proportional to 133,808 and 315,860 is: 745,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,808 : 315,860 = 315,860 : x
  2. Step 2: Convert to fraction form
    133,808/315,860 = 315,860/x
  3. Step 3: Cross multiply
    133,808x = 315,860 × 315,860
  4. Step 4: Simplify right side
    133,808x = 99,767,539,600
  5. Step 5: Solve for x
    x = 99,767,539,600/133,808
  6. Step 6: Final answer
    x = 745,602.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.