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Finding the Third Proportional to 256,359 and 552,157

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Solution

The third proportional to 256,359 and 552,157 is: 1,189,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,359 : 552,157 = 552,157 : x
  2. Step 2: Convert to fraction form
    256,359/552,157 = 552,157/x
  3. Step 3: Cross multiply
    256,359x = 552,157 × 552,157
  4. Step 4: Simplify right side
    256,359x = 304,877,352,649
  5. Step 5: Solve for x
    x = 304,877,352,649/256,359
  6. Step 6: Final answer
    x = 1,189,259.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.