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Finding the Third Proportional to 328,981 and 482,065

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Solution

The third proportional to 328,981 and 482,065 is: 706,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,981 : 482,065 = 482,065 : x
  2. Step 2: Convert to fraction form
    328,981/482,065 = 482,065/x
  3. Step 3: Cross multiply
    328,981x = 482,065 × 482,065
  4. Step 4: Simplify right side
    328,981x = 232,386,664,225
  5. Step 5: Solve for x
    x = 232,386,664,225/328,981
  6. Step 6: Final answer
    x = 706,383.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.