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Finding the Third Proportional to 489,773 and 756,824

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Solution

The third proportional to 489,773 and 756,824 is: 1,169,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,773 : 756,824 = 756,824 : x
  2. Step 2: Convert to fraction form
    489,773/756,824 = 756,824/x
  3. Step 3: Cross multiply
    489,773x = 756,824 × 756,824
  4. Step 4: Simplify right side
    489,773x = 572,782,566,976
  5. Step 5: Solve for x
    x = 572,782,566,976/489,773
  6. Step 6: Final answer
    x = 1,169,485.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.