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Finding the Third Proportional to 272,490.33 and 405,620.16

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Solution

The third proportional to 272,490.33 and 405,620.16 is: 603,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,490.33 : 405,620.16 = 405,620.16 : x
  2. Step 2: Convert to fraction form
    272,490.33/405,620.16 = 405,620.16/x
  3. Step 3: Cross multiply
    272,490.33x = 405,620.16 × 405,620.16
  4. Step 4: Simplify right side
    272,490.33x = 164,527,711,156.27
  5. Step 5: Solve for x
    x = 164,527,711,156.27/272,490.33
  6. Step 6: Final answer
    x = 603,792.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.