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Finding the Third Proportional to 140,544 and 306,072

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Solution

The third proportional to 140,544 and 306,072 is: 666,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,544 : 306,072 = 306,072 : x
  2. Step 2: Convert to fraction form
    140,544/306,072 = 306,072/x
  3. Step 3: Cross multiply
    140,544x = 306,072 × 306,072
  4. Step 4: Simplify right side
    140,544x = 93,680,069,184
  5. Step 5: Solve for x
    x = 93,680,069,184/140,544
  6. Step 6: Final answer
    x = 666,553.32

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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.