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Finding the Third Proportional to 221,678 and 351,072

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Solution

The third proportional to 221,678 and 351,072 is: 555,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,678 : 351,072 = 351,072 : x
  2. Step 2: Convert to fraction form
    221,678/351,072 = 351,072/x
  3. Step 3: Cross multiply
    221,678x = 351,072 × 351,072
  4. Step 4: Simplify right side
    221,678x = 123,251,549,184
  5. Step 5: Solve for x
    x = 123,251,549,184/221,678
  6. Step 6: Final answer
    x = 555,993.60

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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.