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Finding the Third Proportional to 138,422.63 and 216,860.25

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Solution

The third proportional to 138,422.63 and 216,860.25 is: 339,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,422.63 : 216,860.25 = 216,860.25 : x
  2. Step 2: Convert to fraction form
    138,422.63/216,860.25 = 216,860.25/x
  3. Step 3: Cross multiply
    138,422.63x = 216,860.25 × 216,860.25
  4. Step 4: Simplify right side
    138,422.63x = 47,028,368,030.06
  5. Step 5: Solve for x
    x = 47,028,368,030.06/138,422.63
  6. Step 6: Final answer
    x = 339,744.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.