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Finding the Third Proportional to 272,257 and 412,064

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Solution

The third proportional to 272,257 and 412,064 is: 623,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,257 : 412,064 = 412,064 : x
  2. Step 2: Convert to fraction form
    272,257/412,064 = 412,064/x
  3. Step 3: Cross multiply
    272,257x = 412,064 × 412,064
  4. Step 4: Simplify right side
    272,257x = 169,796,740,096
  5. Step 5: Solve for x
    x = 169,796,740,096/272,257
  6. Step 6: Final answer
    x = 623,663.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.