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Finding the Third Proportional to 148,323 and 328,683

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Solution

The third proportional to 148,323 and 328,683 is: 728,359.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,323 : 328,683 = 328,683 : x
  2. Step 2: Convert to fraction form
    148,323/328,683 = 328,683/x
  3. Step 3: Cross multiply
    148,323x = 328,683 × 328,683
  4. Step 4: Simplify right side
    148,323x = 108,032,514,489
  5. Step 5: Solve for x
    x = 108,032,514,489/148,323
  6. Step 6: Final answer
    x = 728,359.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.