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Finding the Third Proportional to 320,506 and 464,223

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Solution

The third proportional to 320,506 and 464,223 is: 672,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,506 : 464,223 = 464,223 : x
  2. Step 2: Convert to fraction form
    320,506/464,223 = 464,223/x
  3. Step 3: Cross multiply
    320,506x = 464,223 × 464,223
  4. Step 4: Simplify right side
    320,506x = 215,502,993,729
  5. Step 5: Solve for x
    x = 215,502,993,729/320,506
  6. Step 6: Final answer
    x = 672,383.65

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.