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Finding the Third Proportional to 148,670 and 320,666

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Solution

The third proportional to 148,670 and 320,666 is: 691,643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,670 : 320,666 = 320,666 : x
  2. Step 2: Convert to fraction form
    148,670/320,666 = 320,666/x
  3. Step 3: Cross multiply
    148,670x = 320,666 × 320,666
  4. Step 4: Simplify right side
    148,670x = 102,826,683,556
  5. Step 5: Solve for x
    x = 102,826,683,556/148,670
  6. Step 6: Final answer
    x = 691,643.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.