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Finding the Third Proportional to 272,569 and 400,982

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Solution

The third proportional to 272,569 and 400,982 is: 589,893.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,569 : 400,982 = 400,982 : x
  2. Step 2: Convert to fraction form
    272,569/400,982 = 400,982/x
  3. Step 3: Cross multiply
    272,569x = 400,982 × 400,982
  4. Step 4: Simplify right side
    272,569x = 160,786,564,324
  5. Step 5: Solve for x
    x = 160,786,564,324/272,569
  6. Step 6: Final answer
    x = 589,893.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.