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Finding the Third Proportional to 69,038 and 147,907

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Solution

The third proportional to 69,038 and 147,907 is: 316,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,038 : 147,907 = 147,907 : x
  2. Step 2: Convert to fraction form
    69,038/147,907 = 147,907/x
  3. Step 3: Cross multiply
    69,038x = 147,907 × 147,907
  4. Step 4: Simplify right side
    69,038x = 21,876,480,649
  5. Step 5: Solve for x
    x = 21,876,480,649/69,038
  6. Step 6: Final answer
    x = 316,875.93

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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.