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Finding the Third Proportional to 509,446 and 785,555

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Solution

The third proportional to 509,446 and 785,555 is: 1,211,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,446 : 785,555 = 785,555 : x
  2. Step 2: Convert to fraction form
    509,446/785,555 = 785,555/x
  3. Step 3: Cross multiply
    509,446x = 785,555 × 785,555
  4. Step 4: Simplify right side
    509,446x = 617,096,658,025
  5. Step 5: Solve for x
    x = 617,096,658,025/509,446
  6. Step 6: Final answer
    x = 1,211,309.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.