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Finding the Third Proportional to 315,336 and 479,556

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Solution

The third proportional to 315,336 and 479,556 is: 729,298.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,336 : 479,556 = 479,556 : x
  2. Step 2: Convert to fraction form
    315,336/479,556 = 479,556/x
  3. Step 3: Cross multiply
    315,336x = 479,556 × 479,556
  4. Step 4: Simplify right side
    315,336x = 229,973,957,136
  5. Step 5: Solve for x
    x = 229,973,957,136/315,336
  6. Step 6: Final answer
    x = 729,298.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.