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Finding the Third Proportional to 401,419 and 591,040

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Solution

The third proportional to 401,419 and 591,040 is: 870,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,419 : 591,040 = 591,040 : x
  2. Step 2: Convert to fraction form
    401,419/591,040 = 591,040/x
  3. Step 3: Cross multiply
    401,419x = 591,040 × 591,040
  4. Step 4: Simplify right side
    401,419x = 349,328,281,600
  5. Step 5: Solve for x
    x = 349,328,281,600/401,419
  6. Step 6: Final answer
    x = 870,233.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.