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Finding the Third Proportional to 289,350 and 442,363

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Solution

The third proportional to 289,350 and 442,363 is: 676,291.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,350 : 442,363 = 442,363 : x
  2. Step 2: Convert to fraction form
    289,350/442,363 = 442,363/x
  3. Step 3: Cross multiply
    289,350x = 442,363 × 442,363
  4. Step 4: Simplify right side
    289,350x = 195,685,023,769
  5. Step 5: Solve for x
    x = 195,685,023,769/289,350
  6. Step 6: Final answer
    x = 676,291.77

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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.