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Finding the Third Proportional to 282,043.69 and 424,413

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Solution

The third proportional to 282,043.69 and 424,413 is: 638,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,043.69 : 424,413 = 424,413 : x
  2. Step 2: Convert to fraction form
    282,043.69/424,413 = 424,413/x
  3. Step 3: Cross multiply
    282,043.69x = 424,413 × 424,413
  4. Step 4: Simplify right side
    282,043.69x = 180,126,394,569
  5. Step 5: Solve for x
    x = 180,126,394,569/282,043.69
  6. Step 6: Final answer
    x = 638,647.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.