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Finding the Third Proportional to 208,072 and 313,579

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Solution

The third proportional to 208,072 and 313,579 is: 472,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,072 : 313,579 = 313,579 : x
  2. Step 2: Convert to fraction form
    208,072/313,579 = 313,579/x
  3. Step 3: Cross multiply
    208,072x = 313,579 × 313,579
  4. Step 4: Simplify right side
    208,072x = 98,331,789,241
  5. Step 5: Solve for x
    x = 98,331,789,241/208,072
  6. Step 6: Final answer
    x = 472,585.40

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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.