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Finding the Third Proportional to 306,215 and 459,629

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Solution

The third proportional to 306,215 and 459,629 is: 689,903.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,215 : 459,629 = 459,629 : x
  2. Step 2: Convert to fraction form
    306,215/459,629 = 459,629/x
  3. Step 3: Cross multiply
    306,215x = 459,629 × 459,629
  4. Step 4: Simplify right side
    306,215x = 211,258,817,641
  5. Step 5: Solve for x
    x = 211,258,817,641/306,215
  6. Step 6: Final answer
    x = 689,903.56

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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.