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Finding the Third Proportional to 102,929.63 and 220,128.75

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Solution

The third proportional to 102,929.63 and 220,128.75 is: 470,774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,929.63 : 220,128.75 = 220,128.75 : x
  2. Step 2: Convert to fraction form
    102,929.63/220,128.75 = 220,128.75/x
  3. Step 3: Cross multiply
    102,929.63x = 220,128.75 × 220,128.75
  4. Step 4: Simplify right side
    102,929.63x = 48,456,666,576.56
  5. Step 5: Solve for x
    x = 48,456,666,576.56/102,929.63
  6. Step 6: Final answer
    x = 470,774.73

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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.