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Finding the Third Proportional to 289,482 and 459,482

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Solution

The third proportional to 289,482 and 459,482 is: 729,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,482 : 459,482 = 459,482 : x
  2. Step 2: Convert to fraction form
    289,482/459,482 = 459,482/x
  3. Step 3: Cross multiply
    289,482x = 459,482 × 459,482
  4. Step 4: Simplify right side
    289,482x = 211,123,708,324
  5. Step 5: Solve for x
    x = 211,123,708,324/289,482
  6. Step 6: Final answer
    x = 729,315.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.