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Finding the Third Proportional to 443,532 and 678,603

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Solution

The third proportional to 443,532 and 678,603 is: 1,038,261.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,532 : 678,603 = 678,603 : x
  2. Step 2: Convert to fraction form
    443,532/678,603 = 678,603/x
  3. Step 3: Cross multiply
    443,532x = 678,603 × 678,603
  4. Step 4: Simplify right side
    443,532x = 460,502,031,609
  5. Step 5: Solve for x
    x = 460,502,031,609/443,532
  6. Step 6: Final answer
    x = 1,038,261.12

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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.