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Finding the Third Proportional to 809,440 and 1,187,916

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Solution

The third proportional to 809,440 and 1,187,916 is: 1,743,358.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,440 : 1,187,916 = 1,187,916 : x
  2. Step 2: Convert to fraction form
    809,440/1,187,916 = 1,187,916/x
  3. Step 3: Cross multiply
    809,440x = 1,187,916 × 1,187,916
  4. Step 4: Simplify right side
    809,440x = 1,411,144,423,056
  5. Step 5: Solve for x
    x = 1,411,144,423,056/809,440
  6. Step 6: Final answer
    x = 1,743,358.89

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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.