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Finding the Third Proportional to 119,730 and 178,556

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Solution

The third proportional to 119,730 and 178,556 is: 266,284.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,730 : 178,556 = 178,556 : x
  2. Step 2: Convert to fraction form
    119,730/178,556 = 178,556/x
  3. Step 3: Cross multiply
    119,730x = 178,556 × 178,556
  4. Step 4: Simplify right side
    119,730x = 31,882,245,136
  5. Step 5: Solve for x
    x = 31,882,245,136/119,730
  6. Step 6: Final answer
    x = 266,284.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.