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Finding the Third Proportional to 154,402 and 330,207

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Solution

The third proportional to 154,402 and 330,207 is: 706,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,402 : 330,207 = 330,207 : x
  2. Step 2: Convert to fraction form
    154,402/330,207 = 330,207/x
  3. Step 3: Cross multiply
    154,402x = 330,207 × 330,207
  4. Step 4: Simplify right side
    154,402x = 109,036,662,849
  5. Step 5: Solve for x
    x = 109,036,662,849/154,402
  6. Step 6: Final answer
    x = 706,186.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.