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Finding the Third Proportional to 172,135.50 and 284,464.50

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Solution

The third proportional to 172,135.50 and 284,464.50 is: 470,095.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,135.50 : 284,464.50 = 284,464.50 : x
  2. Step 2: Convert to fraction form
    172,135.50/284,464.50 = 284,464.50/x
  3. Step 3: Cross multiply
    172,135.50x = 284,464.50 × 284,464.50
  4. Step 4: Simplify right side
    172,135.50x = 80,920,051,760.25
  5. Step 5: Solve for x
    x = 80,920,051,760.25/172,135.50
  6. Step 6: Final answer
    x = 470,095.08

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.