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Finding the Third Proportional to 386,517 and 556,707

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Solution

The third proportional to 386,517 and 556,707 is: 801,834.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,517 : 556,707 = 556,707 : x
  2. Step 2: Convert to fraction form
    386,517/556,707 = 556,707/x
  3. Step 3: Cross multiply
    386,517x = 556,707 × 556,707
  4. Step 4: Simplify right side
    386,517x = 309,922,683,849
  5. Step 5: Solve for x
    x = 309,922,683,849/386,517
  6. Step 6: Final answer
    x = 801,834.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.