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Finding the Third Proportional to 137,927.81 and 216,735.75

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Solution

The third proportional to 137,927.81 and 216,735.75 is: 340,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,927.81 : 216,735.75 = 216,735.75 : x
  2. Step 2: Convert to fraction form
    137,927.81/216,735.75 = 216,735.75/x
  3. Step 3: Cross multiply
    137,927.81x = 216,735.75 × 216,735.75
  4. Step 4: Simplify right side
    137,927.81x = 46,974,385,328.06
  5. Step 5: Solve for x
    x = 46,974,385,328.06/137,927.81
  6. Step 6: Final answer
    x = 340,572.25

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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.