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Finding the Third Proportional to 358,030 and 501,855

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Solution

The third proportional to 358,030 and 501,855 is: 703,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,030 : 501,855 = 501,855 : x
  2. Step 2: Convert to fraction form
    358,030/501,855 = 501,855/x
  3. Step 3: Cross multiply
    358,030x = 501,855 × 501,855
  4. Step 4: Simplify right side
    358,030x = 251,858,441,025
  5. Step 5: Solve for x
    x = 251,858,441,025/358,030
  6. Step 6: Final answer
    x = 703,456.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.