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Finding the Third Proportional to 728,646 and 1,018,927

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Solution

The third proportional to 728,646 and 1,018,927 is: 1,424,851.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,646 : 1,018,927 = 1,018,927 : x
  2. Step 2: Convert to fraction form
    728,646/1,018,927 = 1,018,927/x
  3. Step 3: Cross multiply
    728,646x = 1,018,927 × 1,018,927
  4. Step 4: Simplify right side
    728,646x = 1,038,212,231,329
  5. Step 5: Solve for x
    x = 1,038,212,231,329/728,646
  6. Step 6: Final answer
    x = 1,424,851.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.