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Finding the Third Proportional to 443,720 and 634,525

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Solution

The third proportional to 443,720 and 634,525 is: 907,378.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,720 : 634,525 = 634,525 : x
  2. Step 2: Convert to fraction form
    443,720/634,525 = 634,525/x
  3. Step 3: Cross multiply
    443,720x = 634,525 × 634,525
  4. Step 4: Simplify right side
    443,720x = 402,621,975,625
  5. Step 5: Solve for x
    x = 402,621,975,625/443,720
  6. Step 6: Final answer
    x = 907,378.47

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.