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Finding the Third Proportional to 149,154.75 and 216,688.50

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Solution

The third proportional to 149,154.75 and 216,688.50 is: 314,799.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,154.75 : 216,688.50 = 216,688.50 : x
  2. Step 2: Convert to fraction form
    149,154.75/216,688.50 = 216,688.50/x
  3. Step 3: Cross multiply
    149,154.75x = 216,688.50 × 216,688.50
  4. Step 4: Simplify right side
    149,154.75x = 46,953,906,032.25
  5. Step 5: Solve for x
    x = 46,953,906,032.25/149,154.75
  6. Step 6: Final answer
    x = 314,799.94

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.