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Finding the Third Proportional to 273,160 and 428,509

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Solution

The third proportional to 273,160 and 428,509 is: 672,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,160 : 428,509 = 428,509 : x
  2. Step 2: Convert to fraction form
    273,160/428,509 = 428,509/x
  3. Step 3: Cross multiply
    273,160x = 428,509 × 428,509
  4. Step 4: Simplify right side
    273,160x = 183,619,963,081
  5. Step 5: Solve for x
    x = 183,619,963,081/273,160
  6. Step 6: Final answer
    x = 672,206.63

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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.