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Finding the Third Proportional to 145,422 and 209,449.13

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Solution

The third proportional to 145,422 and 209,449.13 is: 301,666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,422 : 209,449.13 = 209,449.13 : x
  2. Step 2: Convert to fraction form
    145,422/209,449.13 = 209,449.13/x
  3. Step 3: Cross multiply
    145,422x = 209,449.13 × 209,449.13
  4. Step 4: Simplify right side
    145,422x = 43,868,935,963.27
  5. Step 5: Solve for x
    x = 43,868,935,963.27/145,422
  6. Step 6: Final answer
    x = 301,666.43

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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.