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Finding the Third Proportional to 101,020.50 and 219,775.50

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Solution

The third proportional to 101,020.50 and 219,775.50 is: 478,133.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,020.50 : 219,775.50 = 219,775.50 : x
  2. Step 2: Convert to fraction form
    101,020.50/219,775.50 = 219,775.50/x
  3. Step 3: Cross multiply
    101,020.50x = 219,775.50 × 219,775.50
  4. Step 4: Simplify right side
    101,020.50x = 48,301,270,400.25
  5. Step 5: Solve for x
    x = 48,301,270,400.25/101,020.50
  6. Step 6: Final answer
    x = 478,133.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.