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Finding the Third Proportional to 133,102 and 201,038.50

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Solution

The third proportional to 133,102 and 201,038.50 is: 303,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,102 : 201,038.50 = 201,038.50 : x
  2. Step 2: Convert to fraction form
    133,102/201,038.50 = 201,038.50/x
  3. Step 3: Cross multiply
    133,102x = 201,038.50 × 201,038.50
  4. Step 4: Simplify right side
    133,102x = 40,416,478,482.25
  5. Step 5: Solve for x
    x = 40,416,478,482.25/133,102
  6. Step 6: Final answer
    x = 303,650.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.