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Finding the Third Proportional to 189,222.75 and 402,970.50

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Solution

The third proportional to 189,222.75 and 402,970.50 is: 858,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,222.75 : 402,970.50 = 402,970.50 : x
  2. Step 2: Convert to fraction form
    189,222.75/402,970.50 = 402,970.50/x
  3. Step 3: Cross multiply
    189,222.75x = 402,970.50 × 402,970.50
  4. Step 4: Simplify right side
    189,222.75x = 162,385,223,870.25
  5. Step 5: Solve for x
    x = 162,385,223,870.25/189,222.75
  6. Step 6: Final answer
    x = 858,169.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.