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Finding the Third Proportional to 291,222 and 439,506

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Solution

The third proportional to 291,222 and 439,506 is: 663,293.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,222 : 439,506 = 439,506 : x
  2. Step 2: Convert to fraction form
    291,222/439,506 = 439,506/x
  3. Step 3: Cross multiply
    291,222x = 439,506 × 439,506
  4. Step 4: Simplify right side
    291,222x = 193,165,524,036
  5. Step 5: Solve for x
    x = 193,165,524,036/291,222
  6. Step 6: Final answer
    x = 663,293.03

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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.