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Finding the Third Proportional to 455,478 and 679,536

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Solution

The third proportional to 455,478 and 679,536 is: 1,013,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,478 : 679,536 = 679,536 : x
  2. Step 2: Convert to fraction form
    455,478/679,536 = 679,536/x
  3. Step 3: Cross multiply
    455,478x = 679,536 × 679,536
  4. Step 4: Simplify right side
    455,478x = 461,769,175,296
  5. Step 5: Solve for x
    x = 461,769,175,296/455,478
  6. Step 6: Final answer
    x = 1,013,812.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.