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Finding the Third Proportional to 30,639 and 49,158

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Solution

The third proportional to 30,639 and 49,158 is: 78,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,639 : 49,158 = 49,158 : x
  2. Step 2: Convert to fraction form
    30,639/49,158 = 49,158/x
  3. Step 3: Cross multiply
    30,639x = 49,158 × 49,158
  4. Step 4: Simplify right side
    30,639x = 2,416,508,964
  5. Step 5: Solve for x
    x = 2,416,508,964/30,639
  6. Step 6: Final answer
    x = 78,870.36

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.