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Finding the Third Proportional to 311,976 and 493,574

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Solution

The third proportional to 311,976 and 493,574 is: 780,878.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,976 : 493,574 = 493,574 : x
  2. Step 2: Convert to fraction form
    311,976/493,574 = 493,574/x
  3. Step 3: Cross multiply
    311,976x = 493,574 × 493,574
  4. Step 4: Simplify right side
    311,976x = 243,615,293,476
  5. Step 5: Solve for x
    x = 243,615,293,476/311,976
  6. Step 6: Final answer
    x = 780,878.32

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.