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Finding the Third Proportional to 270,952 and 421,935

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Solution

The third proportional to 270,952 and 421,935 is: 657,050.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,952 : 421,935 = 421,935 : x
  2. Step 2: Convert to fraction form
    270,952/421,935 = 421,935/x
  3. Step 3: Cross multiply
    270,952x = 421,935 × 421,935
  4. Step 4: Simplify right side
    270,952x = 178,029,144,225
  5. Step 5: Solve for x
    x = 178,029,144,225/270,952
  6. Step 6: Final answer
    x = 657,050.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.