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Finding the Third Proportional to 301,083 and 440,320

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Solution

The third proportional to 301,083 and 440,320 is: 643,947.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,083 : 440,320 = 440,320 : x
  2. Step 2: Convert to fraction form
    301,083/440,320 = 440,320/x
  3. Step 3: Cross multiply
    301,083x = 440,320 × 440,320
  4. Step 4: Simplify right side
    301,083x = 193,881,702,400
  5. Step 5: Solve for x
    x = 193,881,702,400/301,083
  6. Step 6: Final answer
    x = 643,947.69

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.