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Finding the Third Proportional to 30,216 and 66,140

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Solution

The third proportional to 30,216 and 66,140 is: 144,774.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,216 : 66,140 = 66,140 : x
  2. Step 2: Convert to fraction form
    30,216/66,140 = 66,140/x
  3. Step 3: Cross multiply
    30,216x = 66,140 × 66,140
  4. Step 4: Simplify right side
    30,216x = 4,374,499,600
  5. Step 5: Solve for x
    x = 4,374,499,600/30,216
  6. Step 6: Final answer
    x = 144,774.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.