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Finding the Third Proportional to 328,354 and 714,218

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Solution

The third proportional to 328,354 and 714,218 is: 1,553,528.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,354 : 714,218 = 714,218 : x
  2. Step 2: Convert to fraction form
    328,354/714,218 = 714,218/x
  3. Step 3: Cross multiply
    328,354x = 714,218 × 714,218
  4. Step 4: Simplify right side
    328,354x = 510,107,351,524
  5. Step 5: Solve for x
    x = 510,107,351,524/328,354
  6. Step 6: Final answer
    x = 1,553,528.67

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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.