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Finding the Third Proportional to 319,424 and 479,145

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Solution

The third proportional to 319,424 and 479,145 is: 718,731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,424 : 479,145 = 479,145 : x
  2. Step 2: Convert to fraction form
    319,424/479,145 = 479,145/x
  3. Step 3: Cross multiply
    319,424x = 479,145 × 479,145
  4. Step 4: Simplify right side
    319,424x = 229,579,931,025
  5. Step 5: Solve for x
    x = 229,579,931,025/319,424
  6. Step 6: Final answer
    x = 718,731.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.