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Finding the Third Proportional to 30,492 and 66,814

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Solution

The third proportional to 30,492 and 66,814 is: 146,402.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,492 : 66,814 = 66,814 : x
  2. Step 2: Convert to fraction form
    30,492/66,814 = 66,814/x
  3. Step 3: Cross multiply
    30,492x = 66,814 × 66,814
  4. Step 4: Simplify right side
    30,492x = 4,464,110,596
  5. Step 5: Solve for x
    x = 4,464,110,596/30,492
  6. Step 6: Final answer
    x = 146,402.68

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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.