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Finding the Third Proportional to 30,036 and 62,178

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Solution

The third proportional to 30,036 and 62,178 is: 128,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,036 : 62,178 = 62,178 : x
  2. Step 2: Convert to fraction form
    30,036/62,178 = 62,178/x
  3. Step 3: Cross multiply
    30,036x = 62,178 × 62,178
  4. Step 4: Simplify right side
    30,036x = 3,866,103,684
  5. Step 5: Solve for x
    x = 3,866,103,684/30,036
  6. Step 6: Final answer
    x = 128,715.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.