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Finding the Third Proportional to 138,435.75 and 216,875.81

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Solution

The third proportional to 138,435.75 and 216,875.81 is: 339,761.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,435.75 : 216,875.81 = 216,875.81 : x
  2. Step 2: Convert to fraction form
    138,435.75/216,875.81 = 216,875.81/x
  3. Step 3: Cross multiply
    138,435.75x = 216,875.81 × 216,875.81
  4. Step 4: Simplify right side
    138,435.75x = 47,035,118,047.54
  5. Step 5: Solve for x
    x = 47,035,118,047.54/138,435.75
  6. Step 6: Final answer
    x = 339,761.36

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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.