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Finding the Third Proportional to 210,868 and 453,992

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Solution

The third proportional to 210,868 and 453,992 is: 977,430.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,868 : 453,992 = 453,992 : x
  2. Step 2: Convert to fraction form
    210,868/453,992 = 453,992/x
  3. Step 3: Cross multiply
    210,868x = 453,992 × 453,992
  4. Step 4: Simplify right side
    210,868x = 206,108,736,064
  5. Step 5: Solve for x
    x = 206,108,736,064/210,868
  6. Step 6: Final answer
    x = 977,430.13

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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.