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Finding the Third Proportional to 643,176 and 945,495

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Solution

The third proportional to 643,176 and 945,495 is: 1,389,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,176 : 945,495 = 945,495 : x
  2. Step 2: Convert to fraction form
    643,176/945,495 = 945,495/x
  3. Step 3: Cross multiply
    643,176x = 945,495 × 945,495
  4. Step 4: Simplify right side
    643,176x = 893,960,795,025
  5. Step 5: Solve for x
    x = 893,960,795,025/643,176
  6. Step 6: Final answer
    x = 1,389,916.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.