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Finding the Third Proportional to 486,144 and 746,240

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Solution

The third proportional to 486,144 and 746,240 is: 1,145,492.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,144 : 746,240 = 746,240 : x
  2. Step 2: Convert to fraction form
    486,144/746,240 = 746,240/x
  3. Step 3: Cross multiply
    486,144x = 746,240 × 746,240
  4. Step 4: Simplify right side
    486,144x = 556,874,137,600
  5. Step 5: Solve for x
    x = 556,874,137,600/486,144
  6. Step 6: Final answer
    x = 1,145,492.15

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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.