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Finding the Third Proportional to 386,546 and 614,955

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Solution

The third proportional to 386,546 and 614,955 is: 978,330.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,546 : 614,955 = 614,955 : x
  2. Step 2: Convert to fraction form
    386,546/614,955 = 614,955/x
  3. Step 3: Cross multiply
    386,546x = 614,955 × 614,955
  4. Step 4: Simplify right side
    386,546x = 378,169,652,025
  5. Step 5: Solve for x
    x = 378,169,652,025/386,546
  6. Step 6: Final answer
    x = 978,330.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.