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Finding the Third Proportional to 30,400 and 65,658

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Solution

The third proportional to 30,400 and 65,658 is: 141,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,400 : 65,658 = 65,658 : x
  2. Step 2: Convert to fraction form
    30,400/65,658 = 65,658/x
  3. Step 3: Cross multiply
    30,400x = 65,658 × 65,658
  4. Step 4: Simplify right side
    30,400x = 4,310,972,964
  5. Step 5: Solve for x
    x = 4,310,972,964/30,400
  6. Step 6: Final answer
    x = 141,808.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.