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Finding the Third Proportional to 302,819 and 470,226

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Solution

The third proportional to 302,819 and 470,226 is: 730,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,819 : 470,226 = 470,226 : x
  2. Step 2: Convert to fraction form
    302,819/470,226 = 470,226/x
  3. Step 3: Cross multiply
    302,819x = 470,226 × 470,226
  4. Step 4: Simplify right side
    302,819x = 221,112,491,076
  5. Step 5: Solve for x
    x = 221,112,491,076/302,819
  6. Step 6: Final answer
    x = 730,180.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.