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Finding the Third Proportional to 208,602 and 313,902

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Solution

The third proportional to 208,602 and 313,902 is: 472,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,602 : 313,902 = 313,902 : x
  2. Step 2: Convert to fraction form
    208,602/313,902 = 313,902/x
  3. Step 3: Cross multiply
    208,602x = 313,902 × 313,902
  4. Step 4: Simplify right side
    208,602x = 98,534,465,604
  5. Step 5: Solve for x
    x = 98,534,465,604/208,602
  6. Step 6: Final answer
    x = 472,356.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.