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Finding the Third Proportional to 290,883 and 450,148

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Solution

The third proportional to 290,883 and 450,148 is: 696,614.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,883 : 450,148 = 450,148 : x
  2. Step 2: Convert to fraction form
    290,883/450,148 = 450,148/x
  3. Step 3: Cross multiply
    290,883x = 450,148 × 450,148
  4. Step 4: Simplify right side
    290,883x = 202,633,221,904
  5. Step 5: Solve for x
    x = 202,633,221,904/290,883
  6. Step 6: Final answer
    x = 696,614.18

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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.