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Finding the Third Proportional to 421,701 and 616,734

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Solution

The third proportional to 421,701 and 616,734 is: 901,968.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,701 : 616,734 = 616,734 : x
  2. Step 2: Convert to fraction form
    421,701/616,734 = 616,734/x
  3. Step 3: Cross multiply
    421,701x = 616,734 × 616,734
  4. Step 4: Simplify right side
    421,701x = 380,360,826,756
  5. Step 5: Solve for x
    x = 380,360,826,756/421,701
  6. Step 6: Final answer
    x = 901,968.05

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.