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Finding the Third Proportional to 103,443.19 and 221,648.63

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Solution

The third proportional to 103,443.19 and 221,648.63 is: 474,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,443.19 : 221,648.63 = 221,648.63 : x
  2. Step 2: Convert to fraction form
    103,443.19/221,648.63 = 221,648.63/x
  3. Step 3: Cross multiply
    103,443.19x = 221,648.63 × 221,648.63
  4. Step 4: Simplify right side
    103,443.19x = 49,128,112,964.39
  5. Step 5: Solve for x
    x = 49,128,112,964.39/103,443.19
  6. Step 6: Final answer
    x = 474,928.45

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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.