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Finding the Third Proportional to 256,452 and 560,106

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Solution

The third proportional to 256,452 and 560,106 is: 1,223,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,452 : 560,106 = 560,106 : x
  2. Step 2: Convert to fraction form
    256,452/560,106 = 560,106/x
  3. Step 3: Cross multiply
    256,452x = 560,106 × 560,106
  4. Step 4: Simplify right side
    256,452x = 313,718,731,236
  5. Step 5: Solve for x
    x = 313,718,731,236/256,452
  6. Step 6: Final answer
    x = 1,223,303.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.