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Finding the Third Proportional to 386,040 and 556,920

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Solution

The third proportional to 386,040 and 556,920 is: 803,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,040 : 556,920 = 556,920 : x
  2. Step 2: Convert to fraction form
    386,040/556,920 = 556,920/x
  3. Step 3: Cross multiply
    386,040x = 556,920 × 556,920
  4. Step 4: Simplify right side
    386,040x = 310,159,886,400
  5. Step 5: Solve for x
    x = 310,159,886,400/386,040
  6. Step 6: Final answer
    x = 803,439.76

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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.