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Finding the Third Proportional to 30,117 and 43,311

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Solution

The third proportional to 30,117 and 43,311 is: 62,285.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,117 : 43,311 = 43,311 : x
  2. Step 2: Convert to fraction form
    30,117/43,311 = 43,311/x
  3. Step 3: Cross multiply
    30,117x = 43,311 × 43,311
  4. Step 4: Simplify right side
    30,117x = 1,875,842,721
  5. Step 5: Solve for x
    x = 1,875,842,721/30,117
  6. Step 6: Final answer
    x = 62,285.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.