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Finding the Third Proportional to 218,160 and 459,648

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Solution

The third proportional to 218,160 and 459,648 is: 968,446.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,160 : 459,648 = 459,648 : x
  2. Step 2: Convert to fraction form
    218,160/459,648 = 459,648/x
  3. Step 3: Cross multiply
    218,160x = 459,648 × 459,648
  4. Step 4: Simplify right side
    218,160x = 211,276,283,904
  5. Step 5: Solve for x
    x = 211,276,283,904/218,160
  6. Step 6: Final answer
    x = 968,446.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.