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Finding the Third Proportional to 74,724 and 102,918

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Solution

The third proportional to 74,724 and 102,918 is: 141,749.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,724 : 102,918 = 102,918 : x
  2. Step 2: Convert to fraction form
    74,724/102,918 = 102,918/x
  3. Step 3: Cross multiply
    74,724x = 102,918 × 102,918
  4. Step 4: Simplify right side
    74,724x = 10,592,114,724
  5. Step 5: Solve for x
    x = 10,592,114,724/74,724
  6. Step 6: Final answer
    x = 141,749.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.