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Finding the Third Proportional to 436,785 and 678,506

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Solution

The third proportional to 436,785 and 678,506 is: 1,053,997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,785 : 678,506 = 678,506 : x
  2. Step 2: Convert to fraction form
    436,785/678,506 = 678,506/x
  3. Step 3: Cross multiply
    436,785x = 678,506 × 678,506
  4. Step 4: Simplify right side
    436,785x = 460,370,392,036
  5. Step 5: Solve for x
    x = 460,370,392,036/436,785
  6. Step 6: Final answer
    x = 1,053,997.72

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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.