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Finding the Third Proportional to 509,112 and 1,119,919.50

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Solution

The third proportional to 509,112 and 1,119,919.50 is: 2,463,543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,112 : 1,119,919.50 = 1,119,919.50 : x
  2. Step 2: Convert to fraction form
    509,112/1,119,919.50 = 1,119,919.50/x
  3. Step 3: Cross multiply
    509,112x = 1,119,919.50 × 1,119,919.50
  4. Step 4: Simplify right side
    509,112x = 1,254,219,686,480.25
  5. Step 5: Solve for x
    x = 1,254,219,686,480.25/509,112
  6. Step 6: Final answer
    x = 2,463,543.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.