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Finding the Third Proportional to 128,623 and 275,705

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Solution

The third proportional to 128,623 and 275,705 is: 590,977.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,623 : 275,705 = 275,705 : x
  2. Step 2: Convert to fraction form
    128,623/275,705 = 275,705/x
  3. Step 3: Cross multiply
    128,623x = 275,705 × 275,705
  4. Step 4: Simplify right side
    128,623x = 76,013,247,025
  5. Step 5: Solve for x
    x = 76,013,247,025/128,623
  6. Step 6: Final answer
    x = 590,977.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.