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Finding the Third Proportional to 189,622.50 and 409,612.50

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Solution

The third proportional to 189,622.50 and 409,612.50 is: 884,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,622.50 : 409,612.50 = 409,612.50 : x
  2. Step 2: Convert to fraction form
    189,622.50/409,612.50 = 409,612.50/x
  3. Step 3: Cross multiply
    189,622.50x = 409,612.50 × 409,612.50
  4. Step 4: Simplify right side
    189,622.50x = 167,782,400,156.25
  5. Step 5: Solve for x
    x = 167,782,400,156.25/189,622.50
  6. Step 6: Final answer
    x = 884,823.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.