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Finding the Third Proportional to 728,098 and 1,139,683

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Solution

The third proportional to 728,098 and 1,139,683 is: 1,783,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,098 : 1,139,683 = 1,139,683 : x
  2. Step 2: Convert to fraction form
    728,098/1,139,683 = 1,139,683/x
  3. Step 3: Cross multiply
    728,098x = 1,139,683 × 1,139,683
  4. Step 4: Simplify right side
    728,098x = 1,298,877,340,489
  5. Step 5: Solve for x
    x = 1,298,877,340,489/728,098
  6. Step 6: Final answer
    x = 1,783,932.03

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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.