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Finding the Third Proportional to 489,089 and 751,859

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Solution

The third proportional to 489,089 and 751,859 is: 1,155,805.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,089 : 751,859 = 751,859 : x
  2. Step 2: Convert to fraction form
    489,089/751,859 = 751,859/x
  3. Step 3: Cross multiply
    489,089x = 751,859 × 751,859
  4. Step 4: Simplify right side
    489,089x = 565,291,955,881
  5. Step 5: Solve for x
    x = 565,291,955,881/489,089
  6. Step 6: Final answer
    x = 1,155,805.91

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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.