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Finding the Third Proportional to 70,877 and 154,207

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Solution

The third proportional to 70,877 and 154,207 is: 335,507.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,877 : 154,207 = 154,207 : x
  2. Step 2: Convert to fraction form
    70,877/154,207 = 154,207/x
  3. Step 3: Cross multiply
    70,877x = 154,207 × 154,207
  4. Step 4: Simplify right side
    70,877x = 23,779,798,849
  5. Step 5: Solve for x
    x = 23,779,798,849/70,877
  6. Step 6: Final answer
    x = 335,507.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.