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Finding the Third Proportional to 207,355.50 and 423,459

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Solution

The third proportional to 207,355.50 and 423,459 is: 864,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,355.50 : 423,459 = 423,459 : x
  2. Step 2: Convert to fraction form
    207,355.50/423,459 = 423,459/x
  3. Step 3: Cross multiply
    207,355.50x = 423,459 × 423,459
  4. Step 4: Simplify right side
    207,355.50x = 179,317,524,681
  5. Step 5: Solve for x
    x = 179,317,524,681/207,355.50
  6. Step 6: Final answer
    x = 864,783.06

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.