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Finding the Third Proportional to 306,705 and 674,322

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Solution

The third proportional to 306,705 and 674,322 is: 1,482,565.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,705 : 674,322 = 674,322 : x
  2. Step 2: Convert to fraction form
    306,705/674,322 = 674,322/x
  3. Step 3: Cross multiply
    306,705x = 674,322 × 674,322
  4. Step 4: Simplify right side
    306,705x = 454,710,159,684
  5. Step 5: Solve for x
    x = 454,710,159,684/306,705
  6. Step 6: Final answer
    x = 1,482,565.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.