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Finding the Third Proportional to 218,496 and 299,028

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Solution

The third proportional to 218,496 and 299,028 is: 409,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,496 : 299,028 = 299,028 : x
  2. Step 2: Convert to fraction form
    218,496/299,028 = 299,028/x
  3. Step 3: Cross multiply
    218,496x = 299,028 × 299,028
  4. Step 4: Simplify right side
    218,496x = 89,417,744,784
  5. Step 5: Solve for x
    x = 89,417,744,784/218,496
  6. Step 6: Final answer
    x = 409,242.02

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.