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Finding the Third Proportional to 338,856 and 498,428

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Solution

The third proportional to 338,856 and 498,428 is: 733,144.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,856 : 498,428 = 498,428 : x
  2. Step 2: Convert to fraction form
    338,856/498,428 = 498,428/x
  3. Step 3: Cross multiply
    338,856x = 498,428 × 498,428
  4. Step 4: Simplify right side
    338,856x = 248,430,471,184
  5. Step 5: Solve for x
    x = 248,430,471,184/338,856
  6. Step 6: Final answer
    x = 733,144.67

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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.