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Finding the Third Proportional to 289,343 and 442,353

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Solution

The third proportional to 289,343 and 442,353 is: 676,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,343 : 442,353 = 442,353 : x
  2. Step 2: Convert to fraction form
    289,343/442,353 = 442,353/x
  3. Step 3: Cross multiply
    289,343x = 442,353 × 442,353
  4. Step 4: Simplify right side
    289,343x = 195,676,176,609
  5. Step 5: Solve for x
    x = 195,676,176,609/289,343
  6. Step 6: Final answer
    x = 676,277.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.