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Finding the Third Proportional to 421,716 and 616,756

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Solution

The third proportional to 421,716 and 616,756 is: 902,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,716 : 616,756 = 616,756 : x
  2. Step 2: Convert to fraction form
    421,716/616,756 = 616,756/x
  3. Step 3: Cross multiply
    421,716x = 616,756 × 616,756
  4. Step 4: Simplify right side
    421,716x = 380,387,963,536
  5. Step 5: Solve for x
    x = 380,387,963,536/421,716
  6. Step 6: Final answer
    x = 902,000.31

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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.