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Finding the Third Proportional to 427,261.50 and 642,276

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Solution

The third proportional to 427,261.50 and 642,276 is: 965,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,261.50 : 642,276 = 642,276 : x
  2. Step 2: Convert to fraction form
    427,261.50/642,276 = 642,276/x
  3. Step 3: Cross multiply
    427,261.50x = 642,276 × 642,276
  4. Step 4: Simplify right side
    427,261.50x = 412,518,460,176
  5. Step 5: Solve for x
    x = 412,518,460,176/427,261.50
  6. Step 6: Final answer
    x = 965,494.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.