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Finding the Third Proportional to 506,391 and 765,009

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Solution

The third proportional to 506,391 and 765,009 is: 1,155,705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,391 : 765,009 = 765,009 : x
  2. Step 2: Convert to fraction form
    506,391/765,009 = 765,009/x
  3. Step 3: Cross multiply
    506,391x = 765,009 × 765,009
  4. Step 4: Simplify right side
    506,391x = 585,238,770,081
  5. Step 5: Solve for x
    x = 585,238,770,081/506,391
  6. Step 6: Final answer
    x = 1,155,705.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.