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Finding the Third Proportional to 386,055 and 556,932

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Solution

The third proportional to 386,055 and 556,932 is: 803,443.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,055 : 556,932 = 556,932 : x
  2. Step 2: Convert to fraction form
    386,055/556,932 = 556,932/x
  3. Step 3: Cross multiply
    386,055x = 556,932 × 556,932
  4. Step 4: Simplify right side
    386,055x = 310,173,252,624
  5. Step 5: Solve for x
    x = 310,173,252,624/386,055
  6. Step 6: Final answer
    x = 803,443.17

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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.