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Finding the Third Proportional to 403,782 and 590,985

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Solution

The third proportional to 403,782 and 590,985 is: 864,979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,782 : 590,985 = 590,985 : x
  2. Step 2: Convert to fraction form
    403,782/590,985 = 590,985/x
  3. Step 3: Cross multiply
    403,782x = 590,985 × 590,985
  4. Step 4: Simplify right side
    403,782x = 349,263,270,225
  5. Step 5: Solve for x
    x = 349,263,270,225/403,782
  6. Step 6: Final answer
    x = 864,979.79

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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.