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Finding the Third Proportional to 285,851 and 420,213

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Solution

The third proportional to 285,851 and 420,213 is: 617,730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,851 : 420,213 = 420,213 : x
  2. Step 2: Convert to fraction form
    285,851/420,213 = 420,213/x
  3. Step 3: Cross multiply
    285,851x = 420,213 × 420,213
  4. Step 4: Simplify right side
    285,851x = 176,578,965,369
  5. Step 5: Solve for x
    x = 176,578,965,369/285,851
  6. Step 6: Final answer
    x = 617,730.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.