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Finding the Third Proportional to 338,712 and 498,712

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Solution

The third proportional to 338,712 and 498,712 is: 734,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,712 : 498,712 = 498,712 : x
  2. Step 2: Convert to fraction form
    338,712/498,712 = 498,712/x
  3. Step 3: Cross multiply
    338,712x = 498,712 × 498,712
  4. Step 4: Simplify right side
    338,712x = 248,713,658,944
  5. Step 5: Solve for x
    x = 248,713,658,944/338,712
  6. Step 6: Final answer
    x = 734,292.43

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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.