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Finding the Third Proportional to 290,864 and 446,928

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Solution

The third proportional to 290,864 and 446,928 is: 686,728.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,864 : 446,928 = 446,928 : x
  2. Step 2: Convert to fraction form
    290,864/446,928 = 446,928/x
  3. Step 3: Cross multiply
    290,864x = 446,928 × 446,928
  4. Step 4: Simplify right side
    290,864x = 199,744,637,184
  5. Step 5: Solve for x
    x = 199,744,637,184/290,864
  6. Step 6: Final answer
    x = 686,728.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.