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Finding the Third Proportional to 222,752 and 480,280

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Solution

The third proportional to 222,752 and 480,280 is: 1,035,541.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,752 : 480,280 = 480,280 : x
  2. Step 2: Convert to fraction form
    222,752/480,280 = 480,280/x
  3. Step 3: Cross multiply
    222,752x = 480,280 × 480,280
  4. Step 4: Simplify right side
    222,752x = 230,668,878,400
  5. Step 5: Solve for x
    x = 230,668,878,400/222,752
  6. Step 6: Final answer
    x = 1,035,541.22

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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.