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Finding the Third Proportional to 148,740 and 216,879.75

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Solution

The third proportional to 148,740 and 216,879.75 is: 316,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,740 : 216,879.75 = 216,879.75 : x
  2. Step 2: Convert to fraction form
    148,740/216,879.75 = 216,879.75/x
  3. Step 3: Cross multiply
    148,740x = 216,879.75 × 216,879.75
  4. Step 4: Simplify right side
    148,740x = 47,036,825,960.06
  5. Step 5: Solve for x
    x = 47,036,825,960.06/148,740
  6. Step 6: Final answer
    x = 316,235.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.