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Finding the Third Proportional to 339,060 and 498,220

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Solution

The third proportional to 339,060 and 498,220 is: 732,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,060 : 498,220 = 498,220 : x
  2. Step 2: Convert to fraction form
    339,060/498,220 = 498,220/x
  3. Step 3: Cross multiply
    339,060x = 498,220 × 498,220
  4. Step 4: Simplify right side
    339,060x = 248,223,168,400
  5. Step 5: Solve for x
    x = 248,223,168,400/339,060
  6. Step 6: Final answer
    x = 732,092.16

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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.