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Finding the Third Proportional to 12,913 and 22,817

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Solution

The third proportional to 12,913 and 22,817 is: 40,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913 : 22,817 = 22,817 : x
  2. Step 2: Convert to fraction form
    12,913/22,817 = 22,817/x
  3. Step 3: Cross multiply
    12,913x = 22,817 × 22,817
  4. Step 4: Simplify right side
    12,913x = 520,615,489
  5. Step 5: Solve for x
    x = 520,615,489/12,913
  6. Step 6: Final answer
    x = 40,317.16

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.