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Finding the Third Proportional to 421,154 and 687,633

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Solution

The third proportional to 421,154 and 687,633 is: 1,122,722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,154 : 687,633 = 687,633 : x
  2. Step 2: Convert to fraction form
    421,154/687,633 = 687,633/x
  3. Step 3: Cross multiply
    421,154x = 687,633 × 687,633
  4. Step 4: Simplify right side
    421,154x = 472,839,142,689
  5. Step 5: Solve for x
    x = 472,839,142,689/421,154
  6. Step 6: Final answer
    x = 1,122,722.67

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.