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Finding the Third Proportional to 222,258 and 480,056.63

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Solution

The third proportional to 222,258 and 480,056.63 is: 1,036,877.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,258 : 480,056.63 = 480,056.63 : x
  2. Step 2: Convert to fraction form
    222,258/480,056.63 = 480,056.63/x
  3. Step 3: Cross multiply
    222,258x = 480,056.63 × 480,056.63
  4. Step 4: Simplify right side
    222,258x = 230,454,363,206.39
  5. Step 5: Solve for x
    x = 230,454,363,206.39/222,258
  6. Step 6: Final answer
    x = 1,036,877.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.