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Finding the Third Proportional to 134,598 and 208,515

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Solution

The third proportional to 134,598 and 208,515 is: 323,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,598 : 208,515 = 208,515 : x
  2. Step 2: Convert to fraction form
    134,598/208,515 = 208,515/x
  3. Step 3: Cross multiply
    134,598x = 208,515 × 208,515
  4. Step 4: Simplify right side
    134,598x = 43,478,505,225
  5. Step 5: Solve for x
    x = 43,478,505,225/134,598
  6. Step 6: Final answer
    x = 323,024.90

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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.