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Finding the Third Proportional to 645,458 and 947,451

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Solution

The third proportional to 645,458 and 947,451 is: 1,390,738.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,458 : 947,451 = 947,451 : x
  2. Step 2: Convert to fraction form
    645,458/947,451 = 947,451/x
  3. Step 3: Cross multiply
    645,458x = 947,451 × 947,451
  4. Step 4: Simplify right side
    645,458x = 897,663,397,401
  5. Step 5: Solve for x
    x = 897,663,397,401/645,458
  6. Step 6: Final answer
    x = 1,390,738.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.