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Finding the Third Proportional to 290,815 and 608,118

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Solution

The third proportional to 290,815 and 608,118 is: 1,271,624.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,815 : 608,118 = 608,118 : x
  2. Step 2: Convert to fraction form
    290,815/608,118 = 608,118/x
  3. Step 3: Cross multiply
    290,815x = 608,118 × 608,118
  4. Step 4: Simplify right side
    290,815x = 369,807,501,924
  5. Step 5: Solve for x
    x = 369,807,501,924/290,815
  6. Step 6: Final answer
    x = 1,271,624.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.