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Finding the Third Proportional to 148,235 and 218,437

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Solution

The third proportional to 148,235 and 218,437 is: 321,885.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,235 : 218,437 = 218,437 : x
  2. Step 2: Convert to fraction form
    148,235/218,437 = 218,437/x
  3. Step 3: Cross multiply
    148,235x = 218,437 × 218,437
  4. Step 4: Simplify right side
    148,235x = 47,714,722,969
  5. Step 5: Solve for x
    x = 47,714,722,969/148,235
  6. Step 6: Final answer
    x = 321,885.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.