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Finding the Third Proportional to 210,658 and 450,842

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Solution

The third proportional to 210,658 and 450,842 is: 964,874.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,658 : 450,842 = 450,842 : x
  2. Step 2: Convert to fraction form
    210,658/450,842 = 450,842/x
  3. Step 3: Cross multiply
    210,658x = 450,842 × 450,842
  4. Step 4: Simplify right side
    210,658x = 203,258,508,964
  5. Step 5: Solve for x
    x = 203,258,508,964/210,658
  6. Step 6: Final answer
    x = 964,874.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.