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Finding the Third Proportional to 315,195 and 484,454

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Solution

The third proportional to 315,195 and 484,454 is: 744,604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,195 : 484,454 = 484,454 : x
  2. Step 2: Convert to fraction form
    315,195/484,454 = 484,454/x
  3. Step 3: Cross multiply
    315,195x = 484,454 × 484,454
  4. Step 4: Simplify right side
    315,195x = 234,695,678,116
  5. Step 5: Solve for x
    x = 234,695,678,116/315,195
  6. Step 6: Final answer
    x = 744,604.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.