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Finding the Third Proportional to 304,416 and 486,144

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Solution

The third proportional to 304,416 and 486,144 is: 776,358.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,416 : 486,144 = 486,144 : x
  2. Step 2: Convert to fraction form
    304,416/486,144 = 486,144/x
  3. Step 3: Cross multiply
    304,416x = 486,144 × 486,144
  4. Step 4: Simplify right side
    304,416x = 236,335,988,736
  5. Step 5: Solve for x
    x = 236,335,988,736/304,416
  6. Step 6: Final answer
    x = 776,358.63

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.