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Finding the Third Proportional to 613,128 and 915,916

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Solution

The third proportional to 613,128 and 915,916 is: 1,368,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,128 : 915,916 = 915,916 : x
  2. Step 2: Convert to fraction form
    613,128/915,916 = 915,916/x
  3. Step 3: Cross multiply
    613,128x = 915,916 × 915,916
  4. Step 4: Simplify right side
    613,128x = 838,902,119,056
  5. Step 5: Solve for x
    x = 838,902,119,056/613,128
  6. Step 6: Final answer
    x = 1,368,233.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.