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Finding the Third Proportional to 30,294 and 66,338

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Solution

The third proportional to 30,294 and 66,338 is: 145,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,294 : 66,338 = 66,338 : x
  2. Step 2: Convert to fraction form
    30,294/66,338 = 66,338/x
  3. Step 3: Cross multiply
    30,294x = 66,338 × 66,338
  4. Step 4: Simplify right side
    30,294x = 4,400,730,244
  5. Step 5: Solve for x
    x = 4,400,730,244/30,294
  6. Step 6: Final answer
    x = 145,267.39

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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.