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Finding the Third Proportional to 486,146 and 746,243

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Solution

The third proportional to 486,146 and 746,243 is: 1,145,496.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,146 : 746,243 = 746,243 : x
  2. Step 2: Convert to fraction form
    486,146/746,243 = 746,243/x
  3. Step 3: Cross multiply
    486,146x = 746,243 × 746,243
  4. Step 4: Simplify right side
    486,146x = 556,878,615,049
  5. Step 5: Solve for x
    x = 556,878,615,049/486,146
  6. Step 6: Final answer
    x = 1,145,496.65

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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.