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Finding the Third Proportional to 140,792 and 306,370

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Solution

The third proportional to 140,792 and 306,370 is: 666,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,792 : 306,370 = 306,370 : x
  2. Step 2: Convert to fraction form
    140,792/306,370 = 306,370/x
  3. Step 3: Cross multiply
    140,792x = 306,370 × 306,370
  4. Step 4: Simplify right side
    140,792x = 93,862,576,900
  5. Step 5: Solve for x
    x = 93,862,576,900/140,792
  6. Step 6: Final answer
    x = 666,675.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.