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Finding the Third Proportional to 435,538 and 653,307

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Solution

The third proportional to 435,538 and 653,307 is: 979,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,538 : 653,307 = 653,307 : x
  2. Step 2: Convert to fraction form
    435,538/653,307 = 653,307/x
  3. Step 3: Cross multiply
    435,538x = 653,307 × 653,307
  4. Step 4: Simplify right side
    435,538x = 426,810,036,249
  5. Step 5: Solve for x
    x = 426,810,036,249/435,538
  6. Step 6: Final answer
    x = 979,960.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.