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Finding the Third Proportional to 443,531 and 678,600

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Solution

The third proportional to 443,531 and 678,600 is: 1,038,254.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,531 : 678,600 = 678,600 : x
  2. Step 2: Convert to fraction form
    443,531/678,600 = 678,600/x
  3. Step 3: Cross multiply
    443,531x = 678,600 × 678,600
  4. Step 4: Simplify right side
    443,531x = 460,497,960,000
  5. Step 5: Solve for x
    x = 460,497,960,000/443,531
  6. Step 6: Final answer
    x = 1,038,254.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.