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Finding the Third Proportional to 423,630 and 660,452

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Solution

The third proportional to 423,630 and 660,452 is: 1,029,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,630 : 660,452 = 660,452 : x
  2. Step 2: Convert to fraction form
    423,630/660,452 = 660,452/x
  3. Step 3: Cross multiply
    423,630x = 660,452 × 660,452
  4. Step 4: Simplify right side
    423,630x = 436,196,844,304
  5. Step 5: Solve for x
    x = 436,196,844,304/423,630
  6. Step 6: Final answer
    x = 1,029,664.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.