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Finding the Third Proportional to 328,740.19 and 445,482.28

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Solution

The third proportional to 328,740.19 and 445,482.28 is: 603,681.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,740.19 : 445,482.28 = 445,482.28 : x
  2. Step 2: Convert to fraction form
    328,740.19/445,482.28 = 445,482.28/x
  3. Step 3: Cross multiply
    328,740.19x = 445,482.28 × 445,482.28
  4. Step 4: Simplify right side
    328,740.19x = 198,454,462,907.70
  5. Step 5: Solve for x
    x = 198,454,462,907.70/328,740.19
  6. Step 6: Final answer
    x = 603,681.78

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.