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Finding the Third Proportional to 210,321 and 458,707

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Solution

The third proportional to 210,321 and 458,707 is: 1,000,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,321 : 458,707 = 458,707 : x
  2. Step 2: Convert to fraction form
    210,321/458,707 = 458,707/x
  3. Step 3: Cross multiply
    210,321x = 458,707 × 458,707
  4. Step 4: Simplify right side
    210,321x = 210,412,111,849
  5. Step 5: Solve for x
    x = 210,412,111,849/210,321
  6. Step 6: Final answer
    x = 1,000,433.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.