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Finding the Third Proportional to 309,260.81 and 478,855.29

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Solution

The third proportional to 309,260.81 and 478,855.29 is: 741,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,260.81 : 478,855.29 = 478,855.29 : x
  2. Step 2: Convert to fraction form
    309,260.81/478,855.29 = 478,855.29/x
  3. Step 3: Cross multiply
    309,260.81x = 478,855.29 × 478,855.29
  4. Step 4: Simplify right side
    309,260.81x = 229,302,388,564.58
  5. Step 5: Solve for x
    x = 229,302,388,564.58/309,260.81
  6. Step 6: Final answer
    x = 741,453.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.