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Finding the Third Proportional to 29,639 and 66,319

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Solution

The third proportional to 29,639 and 66,319 is: 148,392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,639 : 66,319 = 66,319 : x
  2. Step 2: Convert to fraction form
    29,639/66,319 = 66,319/x
  3. Step 3: Cross multiply
    29,639x = 66,319 × 66,319
  4. Step 4: Simplify right side
    29,639x = 4,398,209,761
  5. Step 5: Solve for x
    x = 4,398,209,761/29,639
  6. Step 6: Final answer
    x = 148,392.65

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.