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Finding the Third Proportional to 291,308 and 439,634

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Solution

The third proportional to 291,308 and 439,634 is: 663,483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,308 : 439,634 = 439,634 : x
  2. Step 2: Convert to fraction form
    291,308/439,634 = 439,634/x
  3. Step 3: Cross multiply
    291,308x = 439,634 × 439,634
  4. Step 4: Simplify right side
    291,308x = 193,278,053,956
  5. Step 5: Solve for x
    x = 193,278,053,956/291,308
  6. Step 6: Final answer
    x = 663,483.51

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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.