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Finding the Third Proportional to 128,902 and 282,203

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Solution

The third proportional to 128,902 and 282,203 is: 617,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,902 : 282,203 = 282,203 : x
  2. Step 2: Convert to fraction form
    128,902/282,203 = 282,203/x
  3. Step 3: Cross multiply
    128,902x = 282,203 × 282,203
  4. Step 4: Simplify right side
    128,902x = 79,638,533,209
  5. Step 5: Solve for x
    x = 79,638,533,209/128,902
  6. Step 6: Final answer
    x = 617,822.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.