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Finding the Third Proportional to 145,415.25 and 209,443.22

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Solution

The third proportional to 145,415.25 and 209,443.22 is: 301,663.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,415.25 : 209,443.22 = 209,443.22 : x
  2. Step 2: Convert to fraction form
    145,415.25/209,443.22 = 209,443.22/x
  3. Step 3: Cross multiply
    145,415.25x = 209,443.22 × 209,443.22
  4. Step 4: Simplify right side
    145,415.25x = 43,866,461,880.36
  5. Step 5: Solve for x
    x = 43,866,461,880.36/145,415.25
  6. Step 6: Final answer
    x = 301,663.42

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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.