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Finding the Third Proportional to 30,989 and 67,129

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Solution

The third proportional to 30,989 and 67,129 is: 145,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,989 : 67,129 = 67,129 : x
  2. Step 2: Convert to fraction form
    30,989/67,129 = 67,129/x
  3. Step 3: Cross multiply
    30,989x = 67,129 × 67,129
  4. Step 4: Simplify right side
    30,989x = 4,506,302,641
  5. Step 5: Solve for x
    x = 4,506,302,641/30,989
  6. Step 6: Final answer
    x = 145,416.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.