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Finding the Third Proportional to 208,386 and 313,578

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Solution

The third proportional to 208,386 and 313,578 is: 471,870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,386 : 313,578 = 313,578 : x
  2. Step 2: Convert to fraction form
    208,386/313,578 = 313,578/x
  3. Step 3: Cross multiply
    208,386x = 313,578 × 313,578
  4. Step 4: Simplify right side
    208,386x = 98,331,162,084
  5. Step 5: Solve for x
    x = 98,331,162,084/208,386
  6. Step 6: Final answer
    x = 471,870.29

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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.