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Finding the Third Proportional to 386,955 and 557,358.75

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Solution

The third proportional to 386,955 and 557,358.75 is: 802,803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,955 : 557,358.75 = 557,358.75 : x
  2. Step 2: Convert to fraction form
    386,955/557,358.75 = 557,358.75/x
  3. Step 3: Cross multiply
    386,955x = 557,358.75 × 557,358.75
  4. Step 4: Simplify right side
    386,955x = 310,648,776,201.56
  5. Step 5: Solve for x
    x = 310,648,776,201.56/386,955
  6. Step 6: Final answer
    x = 802,803.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.