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Finding the Third Proportional to 386,057 and 556,935

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Solution

The third proportional to 386,057 and 556,935 is: 803,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,057 : 556,935 = 556,935 : x
  2. Step 2: Convert to fraction form
    386,057/556,935 = 556,935/x
  3. Step 3: Cross multiply
    386,057x = 556,935 × 556,935
  4. Step 4: Simplify right side
    386,057x = 310,176,594,225
  5. Step 5: Solve for x
    x = 310,176,594,225/386,057
  6. Step 6: Final answer
    x = 803,447.66

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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.