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Finding the Third Proportional to 272,858 and 420,951

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Solution

The third proportional to 272,858 and 420,951 is: 649,421.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,858 : 420,951 = 420,951 : x
  2. Step 2: Convert to fraction form
    272,858/420,951 = 420,951/x
  3. Step 3: Cross multiply
    272,858x = 420,951 × 420,951
  4. Step 4: Simplify right side
    272,858x = 177,199,744,401
  5. Step 5: Solve for x
    x = 177,199,744,401/272,858
  6. Step 6: Final answer
    x = 649,421.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.