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Finding the Third Proportional to 97,840.50 and 143,890.50

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Solution

The third proportional to 97,840.50 and 143,890.50 is: 211,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,840.50 : 143,890.50 = 143,890.50 : x
  2. Step 2: Convert to fraction form
    97,840.50/143,890.50 = 143,890.50/x
  3. Step 3: Cross multiply
    97,840.50x = 143,890.50 × 143,890.50
  4. Step 4: Simplify right side
    97,840.50x = 20,704,475,990.25
  5. Step 5: Solve for x
    x = 20,704,475,990.25/97,840.50
  6. Step 6: Final answer
    x = 211,614.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.