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Finding the Third Proportional to 421,285.50 and 646,006.50

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Solution

The third proportional to 421,285.50 and 646,006.50 is: 990,597.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,285.50 : 646,006.50 = 646,006.50 : x
  2. Step 2: Convert to fraction form
    421,285.50/646,006.50 = 646,006.50/x
  3. Step 3: Cross multiply
    421,285.50x = 646,006.50 × 646,006.50
  4. Step 4: Simplify right side
    421,285.50x = 417,324,398,042.25
  5. Step 5: Solve for x
    x = 417,324,398,042.25/421,285.50
  6. Step 6: Final answer
    x = 990,597.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.