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Finding the Third Proportional to 148,075 and 216,559

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Solution

The third proportional to 148,075 and 216,559 is: 316,716.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,075 : 216,559 = 216,559 : x
  2. Step 2: Convert to fraction form
    148,075/216,559 = 216,559/x
  3. Step 3: Cross multiply
    148,075x = 216,559 × 216,559
  4. Step 4: Simplify right side
    148,075x = 46,897,800,481
  5. Step 5: Solve for x
    x = 46,897,800,481/148,075
  6. Step 6: Final answer
    x = 316,716.53

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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.