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Finding the Third Proportional to 348,356 and 538,390

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Solution

The third proportional to 348,356 and 538,390 is: 832,090.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,356 : 538,390 = 538,390 : x
  2. Step 2: Convert to fraction form
    348,356/538,390 = 538,390/x
  3. Step 3: Cross multiply
    348,356x = 538,390 × 538,390
  4. Step 4: Simplify right side
    348,356x = 289,863,792,100
  5. Step 5: Solve for x
    x = 289,863,792,100/348,356
  6. Step 6: Final answer
    x = 832,090.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.