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Finding the Third Proportional to 256,710 and 558,168

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Solution

The third proportional to 256,710 and 558,168 is: 1,213,632.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,710 : 558,168 = 558,168 : x
  2. Step 2: Convert to fraction form
    256,710/558,168 = 558,168/x
  3. Step 3: Cross multiply
    256,710x = 558,168 × 558,168
  4. Step 4: Simplify right side
    256,710x = 311,551,516,224
  5. Step 5: Solve for x
    x = 311,551,516,224/256,710
  6. Step 6: Final answer
    x = 1,213,632.18

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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.