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Finding the Third Proportional to 282,262 and 608,840

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Solution

The third proportional to 282,262 and 608,840 is: 1,313,269.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,262 : 608,840 = 608,840 : x
  2. Step 2: Convert to fraction form
    282,262/608,840 = 608,840/x
  3. Step 3: Cross multiply
    282,262x = 608,840 × 608,840
  4. Step 4: Simplify right side
    282,262x = 370,686,145,600
  5. Step 5: Solve for x
    x = 370,686,145,600/282,262
  6. Step 6: Final answer
    x = 1,313,269.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.