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Finding the Third Proportional to 728,968.50 and 1,026,100.13

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Solution

The third proportional to 728,968.50 and 1,026,100.13 is: 1,444,344.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,968.50 : 1,026,100.13 = 1,026,100.13 : x
  2. Step 2: Convert to fraction form
    728,968.50/1,026,100.13 = 1,026,100.13/x
  3. Step 3: Cross multiply
    728,968.50x = 1,026,100.13 × 1,026,100.13
  4. Step 4: Simplify right side
    728,968.50x = 1,052,881,466,525.02
  5. Step 5: Solve for x
    x = 1,052,881,466,525.02/728,968.50
  6. Step 6: Final answer
    x = 1,444,344.26

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.