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Finding the Third Proportional to 273,430 and 428,065

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Solution

The third proportional to 273,430 and 428,065 is: 670,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,430 : 428,065 = 428,065 : x
  2. Step 2: Convert to fraction form
    273,430/428,065 = 428,065/x
  3. Step 3: Cross multiply
    273,430x = 428,065 × 428,065
  4. Step 4: Simplify right side
    273,430x = 183,239,644,225
  5. Step 5: Solve for x
    x = 183,239,644,225/273,430
  6. Step 6: Final answer
    x = 670,151.94

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.