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Finding the Third Proportional to 69,830 and 148,813

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Solution

The third proportional to 69,830 and 148,813 is: 317,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,830 : 148,813 = 148,813 : x
  2. Step 2: Convert to fraction form
    69,830/148,813 = 148,813/x
  3. Step 3: Cross multiply
    69,830x = 148,813 × 148,813
  4. Step 4: Simplify right side
    69,830x = 22,145,308,969
  5. Step 5: Solve for x
    x = 22,145,308,969/69,830
  6. Step 6: Final answer
    x = 317,131.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.