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Finding the Third Proportional to 189,301 and 282,310.50

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Solution

The third proportional to 189,301 and 282,310.50 is: 421,018.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,301 : 282,310.50 = 282,310.50 : x
  2. Step 2: Convert to fraction form
    189,301/282,310.50 = 282,310.50/x
  3. Step 3: Cross multiply
    189,301x = 282,310.50 × 282,310.50
  4. Step 4: Simplify right side
    189,301x = 79,699,218,410.25
  5. Step 5: Solve for x
    x = 79,699,218,410.25/189,301
  6. Step 6: Final answer
    x = 421,018.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.