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Finding the Third Proportional to 58,868 and 128,968

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Solution

The third proportional to 58,868 and 128,968 is: 282,543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,868 : 128,968 = 128,968 : x
  2. Step 2: Convert to fraction form
    58,868/128,968 = 128,968/x
  3. Step 3: Cross multiply
    58,868x = 128,968 × 128,968
  4. Step 4: Simplify right side
    58,868x = 16,632,745,024
  5. Step 5: Solve for x
    x = 16,632,745,024/58,868
  6. Step 6: Final answer
    x = 282,543.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.