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Finding the Third Proportional to 63,220 and 128,258

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Solution

The third proportional to 63,220 and 128,258 is: 260,204.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,220 : 128,258 = 128,258 : x
  2. Step 2: Convert to fraction form
    63,220/128,258 = 128,258/x
  3. Step 3: Cross multiply
    63,220x = 128,258 × 128,258
  4. Step 4: Simplify right side
    63,220x = 16,450,114,564
  5. Step 5: Solve for x
    x = 16,450,114,564/63,220
  6. Step 6: Final answer
    x = 260,204.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.