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Finding the Third Proportional to 145,206 and 319,836

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Solution

The third proportional to 145,206 and 319,836 is: 704,482.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,206 : 319,836 = 319,836 : x
  2. Step 2: Convert to fraction form
    145,206/319,836 = 319,836/x
  3. Step 3: Cross multiply
    145,206x = 319,836 × 319,836
  4. Step 4: Simplify right side
    145,206x = 102,295,066,896
  5. Step 5: Solve for x
    x = 102,295,066,896/145,206
  6. Step 6: Final answer
    x = 704,482.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.