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Finding the Third Proportional to 212,909.50 and 463,619

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Solution

The third proportional to 212,909.50 and 463,619 is: 1,009,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,909.50 : 463,619 = 463,619 : x
  2. Step 2: Convert to fraction form
    212,909.50/463,619 = 463,619/x
  3. Step 3: Cross multiply
    212,909.50x = 463,619 × 463,619
  4. Step 4: Simplify right side
    212,909.50x = 214,942,577,161
  5. Step 5: Solve for x
    x = 214,942,577,161/212,909.50
  6. Step 6: Final answer
    x = 1,009,549.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.