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Finding the Third Proportional to 140,894 and 210,621

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Solution

The third proportional to 140,894 and 210,621 is: 314,855.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,894 : 210,621 = 210,621 : x
  2. Step 2: Convert to fraction form
    140,894/210,621 = 210,621/x
  3. Step 3: Cross multiply
    140,894x = 210,621 × 210,621
  4. Step 4: Simplify right side
    140,894x = 44,361,205,641
  5. Step 5: Solve for x
    x = 44,361,205,641/140,894
  6. Step 6: Final answer
    x = 314,855.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.