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Finding the Third Proportional to 69,038 and 147,912

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Solution

The third proportional to 69,038 and 147,912 is: 316,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,038 : 147,912 = 147,912 : x
  2. Step 2: Convert to fraction form
    69,038/147,912 = 147,912/x
  3. Step 3: Cross multiply
    69,038x = 147,912 × 147,912
  4. Step 4: Simplify right side
    69,038x = 21,877,959,744
  5. Step 5: Solve for x
    x = 21,877,959,744/69,038
  6. Step 6: Final answer
    x = 316,897.36

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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.