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Finding the Third Proportional to 511,712 and 802,688

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Solution

The third proportional to 511,712 and 802,688 is: 1,259,122.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,712 : 802,688 = 802,688 : x
  2. Step 2: Convert to fraction form
    511,712/802,688 = 802,688/x
  3. Step 3: Cross multiply
    511,712x = 802,688 × 802,688
  4. Step 4: Simplify right side
    511,712x = 644,308,025,344
  5. Step 5: Solve for x
    x = 644,308,025,344/511,712
  6. Step 6: Final answer
    x = 1,259,122.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.