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Finding the Third Proportional to 282,954 and 608,044.50

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Solution

The third proportional to 282,954 and 608,044.50 is: 1,306,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,954 : 608,044.50 = 608,044.50 : x
  2. Step 2: Convert to fraction form
    282,954/608,044.50 = 608,044.50/x
  3. Step 3: Cross multiply
    282,954x = 608,044.50 × 608,044.50
  4. Step 4: Simplify right side
    282,954x = 369,718,113,980.25
  5. Step 5: Solve for x
    x = 369,718,113,980.25/282,954
  6. Step 6: Final answer
    x = 1,306,636.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.