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Finding the Third Proportional to 210,183 and 455,983.50

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Solution

The third proportional to 210,183 and 455,983.50 is: 989,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,183 : 455,983.50 = 455,983.50 : x
  2. Step 2: Convert to fraction form
    210,183/455,983.50 = 455,983.50/x
  3. Step 3: Cross multiply
    210,183x = 455,983.50 × 455,983.50
  4. Step 4: Simplify right side
    210,183x = 207,920,952,272.25
  5. Step 5: Solve for x
    x = 207,920,952,272.25/210,183
  6. Step 6: Final answer
    x = 989,237.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.