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Finding the Third Proportional to 272,128 and 590,858

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Solution

The third proportional to 272,128 and 590,858 is: 1,282,900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,128 : 590,858 = 590,858 : x
  2. Step 2: Convert to fraction form
    272,128/590,858 = 590,858/x
  3. Step 3: Cross multiply
    272,128x = 590,858 × 590,858
  4. Step 4: Simplify right side
    272,128x = 349,113,176,164
  5. Step 5: Solve for x
    x = 349,113,176,164/272,128
  6. Step 6: Final answer
    x = 1,282,900.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.