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Finding the Third Proportional to 339,210 and 498,447

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Solution

The third proportional to 339,210 and 498,447 is: 732,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,210 : 498,447 = 498,447 : x
  2. Step 2: Convert to fraction form
    339,210/498,447 = 498,447/x
  3. Step 3: Cross multiply
    339,210x = 498,447 × 498,447
  4. Step 4: Simplify right side
    339,210x = 248,449,411,809
  5. Step 5: Solve for x
    x = 248,449,411,809/339,210
  6. Step 6: Final answer
    x = 732,435.40

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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.