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Finding the Third Proportional to 245,484.19 and 380,991.56

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Solution

The third proportional to 245,484.19 and 380,991.56 is: 591,299.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,484.19 : 380,991.56 = 380,991.56 : x
  2. Step 2: Convert to fraction form
    245,484.19/380,991.56 = 380,991.56/x
  3. Step 3: Cross multiply
    245,484.19x = 380,991.56 × 380,991.56
  4. Step 4: Simplify right side
    245,484.19x = 145,154,570,696.19
  5. Step 5: Solve for x
    x = 145,154,570,696.19/245,484.19
  6. Step 6: Final answer
    x = 591,299.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.