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Finding the Third Proportional to 401,923.50 and 639,786

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Solution

The third proportional to 401,923.50 and 639,786 is: 1,018,418.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,923.50 : 639,786 = 639,786 : x
  2. Step 2: Convert to fraction form
    401,923.50/639,786 = 639,786/x
  3. Step 3: Cross multiply
    401,923.50x = 639,786 × 639,786
  4. Step 4: Simplify right side
    401,923.50x = 409,326,125,796
  5. Step 5: Solve for x
    x = 409,326,125,796/401,923.50
  6. Step 6: Final answer
    x = 1,018,418.00

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.