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Finding the Third Proportional to 282,935 and 424,403

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Solution

The third proportional to 282,935 and 424,403 is: 636,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,935 : 424,403 = 424,403 : x
  2. Step 2: Convert to fraction form
    282,935/424,403 = 424,403/x
  3. Step 3: Cross multiply
    282,935x = 424,403 × 424,403
  4. Step 4: Simplify right side
    282,935x = 180,117,906,409
  5. Step 5: Solve for x
    x = 180,117,906,409/282,935
  6. Step 6: Final answer
    x = 636,605.25

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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.