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Finding the Third Proportional to 133,756 and 315,730

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Solution

The third proportional to 133,756 and 315,730 is: 745,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,756 : 315,730 = 315,730 : x
  2. Step 2: Convert to fraction form
    133,756/315,730 = 315,730/x
  3. Step 3: Cross multiply
    133,756x = 315,730 × 315,730
  4. Step 4: Simplify right side
    133,756x = 99,685,432,900
  5. Step 5: Solve for x
    x = 99,685,432,900/133,756
  6. Step 6: Final answer
    x = 745,278.21

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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.