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Finding the Third Proportional to 66,492 and 140,488

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Solution

The third proportional to 66,492 and 140,488 is: 296,830.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,492 : 140,488 = 140,488 : x
  2. Step 2: Convert to fraction form
    66,492/140,488 = 140,488/x
  3. Step 3: Cross multiply
    66,492x = 140,488 × 140,488
  4. Step 4: Simplify right side
    66,492x = 19,736,878,144
  5. Step 5: Solve for x
    x = 19,736,878,144/66,492
  6. Step 6: Final answer
    x = 296,830.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.