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Finding the Third Proportional to 291,938 and 439,996

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Solution

The third proportional to 291,938 and 439,996 is: 663,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,938 : 439,996 = 439,996 : x
  2. Step 2: Convert to fraction form
    291,938/439,996 = 439,996/x
  3. Step 3: Cross multiply
    291,938x = 439,996 × 439,996
  4. Step 4: Simplify right side
    291,938x = 193,596,480,016
  5. Step 5: Solve for x
    x = 193,596,480,016/291,938
  6. Step 6: Final answer
    x = 663,142.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.