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Finding the Third Proportional to 291,306 and 439,629

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Solution

The third proportional to 291,306 and 439,629 is: 663,472.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,306 : 439,629 = 439,629 : x
  2. Step 2: Convert to fraction form
    291,306/439,629 = 439,629/x
  3. Step 3: Cross multiply
    291,306x = 439,629 × 439,629
  4. Step 4: Simplify right side
    291,306x = 193,273,657,641
  5. Step 5: Solve for x
    x = 193,273,657,641/291,306
  6. Step 6: Final answer
    x = 663,472.97

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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.