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Finding the Third Proportional to 43,678.50 and 93,586

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Solution

The third proportional to 43,678.50 and 93,586 is: 200,518.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,678.50 : 93,586 = 93,586 : x
  2. Step 2: Convert to fraction form
    43,678.50/93,586 = 93,586/x
  3. Step 3: Cross multiply
    43,678.50x = 93,586 × 93,586
  4. Step 4: Simplify right side
    43,678.50x = 8,758,339,396
  5. Step 5: Solve for x
    x = 8,758,339,396/43,678.50
  6. Step 6: Final answer
    x = 200,518.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.