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Finding the Third Proportional to 256,562.44 and 556,916.13

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Solution

The third proportional to 256,562.44 and 556,916.13 is: 1,208,889.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,562.44 : 556,916.13 = 556,916.13 : x
  2. Step 2: Convert to fraction form
    256,562.44/556,916.13 = 556,916.13/x
  3. Step 3: Cross multiply
    256,562.44x = 556,916.13 × 556,916.13
  4. Step 4: Simplify right side
    256,562.44x = 310,155,578,986.83
  5. Step 5: Solve for x
    x = 310,155,578,986.83/256,562.44
  6. Step 6: Final answer
    x = 1,208,889.27

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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.