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Finding the Third Proportional to 256,108 and 360,510

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Solution

The third proportional to 256,108 and 360,510 is: 507,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,108 : 360,510 = 360,510 : x
  2. Step 2: Convert to fraction form
    256,108/360,510 = 360,510/x
  3. Step 3: Cross multiply
    256,108x = 360,510 × 360,510
  4. Step 4: Simplify right side
    256,108x = 129,967,460,100
  5. Step 5: Solve for x
    x = 129,967,460,100/256,108
  6. Step 6: Final answer
    x = 507,471.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.