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Finding the Third Proportional to 137,657 and 208,390

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Solution

The third proportional to 137,657 and 208,390 is: 315,468.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,657 : 208,390 = 208,390 : x
  2. Step 2: Convert to fraction form
    137,657/208,390 = 208,390/x
  3. Step 3: Cross multiply
    137,657x = 208,390 × 208,390
  4. Step 4: Simplify right side
    137,657x = 43,426,392,100
  5. Step 5: Solve for x
    x = 43,426,392,100/137,657
  6. Step 6: Final answer
    x = 315,468.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.