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Finding the Third Proportional to 338,820 and 498,842

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Solution

The third proportional to 338,820 and 498,842 is: 734,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,820 : 498,842 = 498,842 : x
  2. Step 2: Convert to fraction form
    338,820/498,842 = 498,842/x
  3. Step 3: Cross multiply
    338,820x = 498,842 × 498,842
  4. Step 4: Simplify right side
    338,820x = 248,843,340,964
  5. Step 5: Solve for x
    x = 248,843,340,964/338,820
  6. Step 6: Final answer
    x = 734,441.12

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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.