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Finding the Third Proportional to 98,013 and 143,050.50

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Solution

The third proportional to 98,013 and 143,050.50 is: 208,782.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,013 : 143,050.50 = 143,050.50 : x
  2. Step 2: Convert to fraction form
    98,013/143,050.50 = 143,050.50/x
  3. Step 3: Cross multiply
    98,013x = 143,050.50 × 143,050.50
  4. Step 4: Simplify right side
    98,013x = 20,463,445,550.25
  5. Step 5: Solve for x
    x = 20,463,445,550.25/98,013
  6. Step 6: Final answer
    x = 208,782.97

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.