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Finding the Third Proportional to 149,043 and 218,812.50

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Solution

The third proportional to 149,043 and 218,812.50 is: 321,242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,043 : 218,812.50 = 218,812.50 : x
  2. Step 2: Convert to fraction form
    149,043/218,812.50 = 218,812.50/x
  3. Step 3: Cross multiply
    149,043x = 218,812.50 × 218,812.50
  4. Step 4: Simplify right side
    149,043x = 47,878,910,156.25
  5. Step 5: Solve for x
    x = 47,878,910,156.25/149,043
  6. Step 6: Final answer
    x = 321,242.26

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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.