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Finding the Third Proportional to 108,355.78 and 143,775.84

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Solution

The third proportional to 108,355.78 and 143,775.84 is: 190,774.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,355.78 : 143,775.84 = 143,775.84 : x
  2. Step 2: Convert to fraction form
    108,355.78/143,775.84 = 143,775.84/x
  3. Step 3: Cross multiply
    108,355.78x = 143,775.84 × 143,775.84
  4. Step 4: Simplify right side
    108,355.78x = 20,671,493,246.02
  5. Step 5: Solve for x
    x = 20,671,493,246.02/108,355.78
  6. Step 6: Final answer
    x = 190,774.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.