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Finding the Third Proportional to 638,293 and 945,115

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Solution

The third proportional to 638,293 and 945,115 is: 1,399,423.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,293 : 945,115 = 945,115 : x
  2. Step 2: Convert to fraction form
    638,293/945,115 = 945,115/x
  3. Step 3: Cross multiply
    638,293x = 945,115 × 945,115
  4. Step 4: Simplify right side
    638,293x = 893,242,363,225
  5. Step 5: Solve for x
    x = 893,242,363,225/638,293
  6. Step 6: Final answer
    x = 1,399,423.72

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.