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Finding the Third Proportional to 178,428 and 260,940.75

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Solution

The third proportional to 178,428 and 260,940.75 is: 381,610.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,428 : 260,940.75 = 260,940.75 : x
  2. Step 2: Convert to fraction form
    178,428/260,940.75 = 260,940.75/x
  3. Step 3: Cross multiply
    178,428x = 260,940.75 × 260,940.75
  4. Step 4: Simplify right side
    178,428x = 68,090,075,010.56
  5. Step 5: Solve for x
    x = 68,090,075,010.56/178,428
  6. Step 6: Final answer
    x = 381,610.93

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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.