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Finding the Third Proportional to 207,440 and 314,879

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Solution

The third proportional to 207,440 and 314,879 is: 477,963.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,440 : 314,879 = 314,879 : x
  2. Step 2: Convert to fraction form
    207,440/314,879 = 314,879/x
  3. Step 3: Cross multiply
    207,440x = 314,879 × 314,879
  4. Step 4: Simplify right side
    207,440x = 99,148,784,641
  5. Step 5: Solve for x
    x = 99,148,784,641/207,440
  6. Step 6: Final answer
    x = 477,963.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.