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Finding the Third Proportional to 149,232 and 307,215

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Solution

The third proportional to 149,232 and 307,215 is: 632,445.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,232 : 307,215 = 307,215 : x
  2. Step 2: Convert to fraction form
    149,232/307,215 = 307,215/x
  3. Step 3: Cross multiply
    149,232x = 307,215 × 307,215
  4. Step 4: Simplify right side
    149,232x = 94,381,056,225
  5. Step 5: Solve for x
    x = 94,381,056,225/149,232
  6. Step 6: Final answer
    x = 632,445.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.