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Finding the Third Proportional to 281,415 and 421,633.50

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Solution

The third proportional to 281,415 and 421,633.50 is: 631,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,415 : 421,633.50 = 421,633.50 : x
  2. Step 2: Convert to fraction form
    281,415/421,633.50 = 421,633.50/x
  3. Step 3: Cross multiply
    281,415x = 421,633.50 × 421,633.50
  4. Step 4: Simplify right side
    281,415x = 177,774,808,322.25
  5. Step 5: Solve for x
    x = 177,774,808,322.25/281,415
  6. Step 6: Final answer
    x = 631,717.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.