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Finding the Third Proportional to 178,522 and 276,598

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Solution

The third proportional to 178,522 and 276,598 is: 428,554.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,522 : 276,598 = 276,598 : x
  2. Step 2: Convert to fraction form
    178,522/276,598 = 276,598/x
  3. Step 3: Cross multiply
    178,522x = 276,598 × 276,598
  4. Step 4: Simplify right side
    178,522x = 76,506,453,604
  5. Step 5: Solve for x
    x = 76,506,453,604/178,522
  6. Step 6: Final answer
    x = 428,554.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.