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Finding the Third Proportional to 304,479 and 654,318

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Solution

The third proportional to 304,479 and 654,318 is: 1,406,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,479 : 654,318 = 654,318 : x
  2. Step 2: Convert to fraction form
    304,479/654,318 = 654,318/x
  3. Step 3: Cross multiply
    304,479x = 654,318 × 654,318
  4. Step 4: Simplify right side
    304,479x = 428,132,045,124
  5. Step 5: Solve for x
    x = 428,132,045,124/304,479
  6. Step 6: Final answer
    x = 1,406,113.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.