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Finding the Third Proportional to 108,509.63 and 172,666.69

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Solution

The third proportional to 108,509.63 and 172,666.69 is: 274,757.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,509.63 : 172,666.69 = 172,666.69 : x
  2. Step 2: Convert to fraction form
    108,509.63/172,666.69 = 172,666.69/x
  3. Step 3: Cross multiply
    108,509.63x = 172,666.69 × 172,666.69
  4. Step 4: Simplify right side
    108,509.63x = 29,813,784,972.22
  5. Step 5: Solve for x
    x = 29,813,784,972.22/108,509.63
  6. Step 6: Final answer
    x = 274,757.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.