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Finding the Third Proportional to 302,279 and 471,803

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Solution

The third proportional to 302,279 and 471,803 is: 736,399.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,279 : 471,803 = 471,803 : x
  2. Step 2: Convert to fraction form
    302,279/471,803 = 471,803/x
  3. Step 3: Cross multiply
    302,279x = 471,803 × 471,803
  4. Step 4: Simplify right side
    302,279x = 222,598,070,809
  5. Step 5: Solve for x
    x = 222,598,070,809/302,279
  6. Step 6: Final answer
    x = 736,399.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.