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Finding the Third Proportional to 30,678.75 and 65,724.75

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Solution

The third proportional to 30,678.75 and 65,724.75 is: 140,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.75 : 65,724.75 = 65,724.75 : x
  2. Step 2: Convert to fraction form
    30,678.75/65,724.75 = 65,724.75/x
  3. Step 3: Cross multiply
    30,678.75x = 65,724.75 × 65,724.75
  4. Step 4: Simplify right side
    30,678.75x = 4,319,742,762.56
  5. Step 5: Solve for x
    x = 4,319,742,762.56/30,678.75
  6. Step 6: Final answer
    x = 140,805.70

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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.