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Finding the Third Proportional to 253,989 and 542,968

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Solution

The third proportional to 253,989 and 542,968 is: 1,160,736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,989 : 542,968 = 542,968 : x
  2. Step 2: Convert to fraction form
    253,989/542,968 = 542,968/x
  3. Step 3: Cross multiply
    253,989x = 542,968 × 542,968
  4. Step 4: Simplify right side
    253,989x = 294,814,249,024
  5. Step 5: Solve for x
    x = 294,814,249,024/253,989
  6. Step 6: Final answer
    x = 1,160,736.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.