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Finding the Third Proportional to 401,943 and 639,816

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Solution

The third proportional to 401,943 and 639,816 is: 1,018,464.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,943 : 639,816 = 639,816 : x
  2. Step 2: Convert to fraction form
    401,943/639,816 = 639,816/x
  3. Step 3: Cross multiply
    401,943x = 639,816 × 639,816
  4. Step 4: Simplify right side
    401,943x = 409,364,513,856
  5. Step 5: Solve for x
    x = 409,364,513,856/401,943
  6. Step 6: Final answer
    x = 1,018,464.10

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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.