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Finding the Third Proportional to 210,317 and 317,984

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Solution

The third proportional to 210,317 and 317,984 is: 480,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,317 : 317,984 = 317,984 : x
  2. Step 2: Convert to fraction form
    210,317/317,984 = 317,984/x
  3. Step 3: Cross multiply
    210,317x = 317,984 × 317,984
  4. Step 4: Simplify right side
    210,317x = 101,113,824,256
  5. Step 5: Solve for x
    x = 101,113,824,256/210,317
  6. Step 6: Final answer
    x = 480,768.67

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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.