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Finding the Third Proportional to 103,507 and 221,770

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Solution

The third proportional to 103,507 and 221,770 is: 475,155.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,507 : 221,770 = 221,770 : x
  2. Step 2: Convert to fraction form
    103,507/221,770 = 221,770/x
  3. Step 3: Cross multiply
    103,507x = 221,770 × 221,770
  4. Step 4: Simplify right side
    103,507x = 49,181,932,900
  5. Step 5: Solve for x
    x = 49,181,932,900/103,507
  6. Step 6: Final answer
    x = 475,155.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.