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Finding the Third Proportional to 213,044 and 306,894

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Solution

The third proportional to 213,044 and 306,894 is: 442,086.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,044 : 306,894 = 306,894 : x
  2. Step 2: Convert to fraction form
    213,044/306,894 = 306,894/x
  3. Step 3: Cross multiply
    213,044x = 306,894 × 306,894
  4. Step 4: Simplify right side
    213,044x = 94,183,927,236
  5. Step 5: Solve for x
    x = 94,183,927,236/213,044
  6. Step 6: Final answer
    x = 442,086.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.