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Finding the Third Proportional to 149,157 and 216,691

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Solution

The third proportional to 149,157 and 216,691 is: 314,802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,157 : 216,691 = 216,691 : x
  2. Step 2: Convert to fraction form
    149,157/216,691 = 216,691/x
  3. Step 3: Cross multiply
    149,157x = 216,691 × 216,691
  4. Step 4: Simplify right side
    149,157x = 46,954,989,481
  5. Step 5: Solve for x
    x = 46,954,989,481/149,157
  6. Step 6: Final answer
    x = 314,802.45

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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.