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Finding the Third Proportional to 290,886 and 450,153

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Solution

The third proportional to 290,886 and 450,153 is: 696,622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,886 : 450,153 = 450,153 : x
  2. Step 2: Convert to fraction form
    290,886/450,153 = 450,153/x
  3. Step 3: Cross multiply
    290,886x = 450,153 × 450,153
  4. Step 4: Simplify right side
    290,886x = 202,637,723,409
  5. Step 5: Solve for x
    x = 202,637,723,409/290,886
  6. Step 6: Final answer
    x = 696,622.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.