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Finding the Third Proportional to 328,081 and 715,454

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Solution

The third proportional to 328,081 and 715,454 is: 1,560,207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,081 : 715,454 = 715,454 : x
  2. Step 2: Convert to fraction form
    328,081/715,454 = 715,454/x
  3. Step 3: Cross multiply
    328,081x = 715,454 × 715,454
  4. Step 4: Simplify right side
    328,081x = 511,874,426,116
  5. Step 5: Solve for x
    x = 511,874,426,116/328,081
  6. Step 6: Final answer
    x = 1,560,207.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.