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Finding the Third Proportional to 30,678.75 and 49,830.19

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Solution

The third proportional to 30,678.75 and 49,830.19 is: 80,937.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.75 : 49,830.19 = 49,830.19 : x
  2. Step 2: Convert to fraction form
    30,678.75/49,830.19 = 49,830.19/x
  3. Step 3: Cross multiply
    30,678.75x = 49,830.19 × 49,830.19
  4. Step 4: Simplify right side
    30,678.75x = 2,483,047,586.29
  5. Step 5: Solve for x
    x = 2,483,047,586.29/30,678.75
  6. Step 6: Final answer
    x = 80,937.05

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.