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Finding the Third Proportional to 401,913 and 639,769.50

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Solution

The third proportional to 401,913 and 639,769.50 is: 1,018,392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,913 : 639,769.50 = 639,769.50 : x
  2. Step 2: Convert to fraction form
    401,913/639,769.50 = 639,769.50/x
  3. Step 3: Cross multiply
    401,913x = 639,769.50 × 639,769.50
  4. Step 4: Simplify right side
    401,913x = 409,305,013,130.25
  5. Step 5: Solve for x
    x = 409,305,013,130.25/401,913
  6. Step 6: Final answer
    x = 1,018,392.07

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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.