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Finding the Third Proportional to 302,813 and 470,211

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Solution

The third proportional to 302,813 and 470,211 is: 730,148.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,813 : 470,211 = 470,211 : x
  2. Step 2: Convert to fraction form
    302,813/470,211 = 470,211/x
  3. Step 3: Cross multiply
    302,813x = 470,211 × 470,211
  4. Step 4: Simplify right side
    302,813x = 221,098,384,521
  5. Step 5: Solve for x
    x = 221,098,384,521/302,813
  6. Step 6: Final answer
    x = 730,148.26

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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.