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Finding the Third Proportional to 273,438 and 427,967.02

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Solution

The third proportional to 273,438 and 427,967.02 is: 669,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,438 : 427,967.02 = 427,967.02 : x
  2. Step 2: Convert to fraction form
    273,438/427,967.02 = 427,967.02/x
  3. Step 3: Cross multiply
    273,438x = 427,967.02 × 427,967.02
  4. Step 4: Simplify right side
    273,438x = 183,155,766,462.97
  5. Step 5: Solve for x
    x = 183,155,766,462.97/273,438
  6. Step 6: Final answer
    x = 669,825.58

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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.