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Finding the Third Proportional to 358,812 and 772,920

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Solution

The third proportional to 358,812 and 772,920 is: 1,664,953.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,812 : 772,920 = 772,920 : x
  2. Step 2: Convert to fraction form
    358,812/772,920 = 772,920/x
  3. Step 3: Cross multiply
    358,812x = 772,920 × 772,920
  4. Step 4: Simplify right side
    358,812x = 597,405,326,400
  5. Step 5: Solve for x
    x = 597,405,326,400/358,812
  6. Step 6: Final answer
    x = 1,664,953.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.