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Finding the Third Proportional to 256,536 and 556,883

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Solution

The third proportional to 256,536 and 556,883 is: 1,208,870.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,536 : 556,883 = 556,883 : x
  2. Step 2: Convert to fraction form
    256,536/556,883 = 556,883/x
  3. Step 3: Cross multiply
    256,536x = 556,883 × 556,883
  4. Step 4: Simplify right side
    256,536x = 310,118,675,689
  5. Step 5: Solve for x
    x = 310,118,675,689/256,536
  6. Step 6: Final answer
    x = 1,208,870.01

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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.