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Finding the Third Proportional to 221,802.19 and 480,971.81

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Solution

The third proportional to 221,802.19 and 480,971.81 is: 1,042,973.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,802.19 : 480,971.81 = 480,971.81 : x
  2. Step 2: Convert to fraction form
    221,802.19/480,971.81 = 480,971.81/x
  3. Step 3: Cross multiply
    221,802.19x = 480,971.81 × 480,971.81
  4. Step 4: Simplify right side
    221,802.19x = 231,333,884,419.54
  5. Step 5: Solve for x
    x = 231,333,884,419.54/221,802.19
  6. Step 6: Final answer
    x = 1,042,973.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.