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Finding the Third Proportional to 306,494 and 460,155

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Solution

The third proportional to 306,494 and 460,155 is: 690,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,494 : 460,155 = 460,155 : x
  2. Step 2: Convert to fraction form
    306,494/460,155 = 460,155/x
  3. Step 3: Cross multiply
    306,494x = 460,155 × 460,155
  4. Step 4: Simplify right side
    306,494x = 211,742,624,025
  5. Step 5: Solve for x
    x = 211,742,624,025/306,494
  6. Step 6: Final answer
    x = 690,854.06

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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.