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Finding the Third Proportional to 258,096 and 539,840

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Solution

The third proportional to 258,096 and 539,840 is: 1,129,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,096 : 539,840 = 539,840 : x
  2. Step 2: Convert to fraction form
    258,096/539,840 = 539,840/x
  3. Step 3: Cross multiply
    258,096x = 539,840 × 539,840
  4. Step 4: Simplify right side
    258,096x = 291,427,225,600
  5. Step 5: Solve for x
    x = 291,427,225,600/258,096
  6. Step 6: Final answer
    x = 1,129,142.74

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.