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Finding the Third Proportional to 30,140 and 45,858

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Solution

The third proportional to 30,140 and 45,858 is: 69,772.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,140 : 45,858 = 45,858 : x
  2. Step 2: Convert to fraction form
    30,140/45,858 = 45,858/x
  3. Step 3: Cross multiply
    30,140x = 45,858 × 45,858
  4. Step 4: Simplify right side
    30,140x = 2,102,956,164
  5. Step 5: Solve for x
    x = 2,102,956,164/30,140
  6. Step 6: Final answer
    x = 69,772.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.