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Finding the Third Proportional to 140,297 and 306,880

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Solution

The third proportional to 140,297 and 306,880 is: 671,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,297 : 306,880 = 306,880 : x
  2. Step 2: Convert to fraction form
    140,297/306,880 = 306,880/x
  3. Step 3: Cross multiply
    140,297x = 306,880 × 306,880
  4. Step 4: Simplify right side
    140,297x = 94,175,334,400
  5. Step 5: Solve for x
    x = 94,175,334,400/140,297
  6. Step 6: Final answer
    x = 671,256.94

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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.