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Finding the Third Proportional to 102,322.50 and 221,459.25

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Solution

The third proportional to 102,322.50 and 221,459.25 is: 479,310.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,322.50 : 221,459.25 = 221,459.25 : x
  2. Step 2: Convert to fraction form
    102,322.50/221,459.25 = 221,459.25/x
  3. Step 3: Cross multiply
    102,322.50x = 221,459.25 × 221,459.25
  4. Step 4: Simplify right side
    102,322.50x = 49,044,199,410.56
  5. Step 5: Solve for x
    x = 49,044,199,410.56/102,322.50
  6. Step 6: Final answer
    x = 479,310.02

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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.