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Finding the Third Proportional to 401,953.50 and 639,832.50

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Solution

The third proportional to 401,953.50 and 639,832.50 is: 1,018,490.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,953.50 : 639,832.50 = 639,832.50 : x
  2. Step 2: Convert to fraction form
    401,953.50/639,832.50 = 639,832.50/x
  3. Step 3: Cross multiply
    401,953.50x = 639,832.50 × 639,832.50
  4. Step 4: Simplify right side
    401,953.50x = 409,385,628,056.25
  5. Step 5: Solve for x
    x = 409,385,628,056.25/401,953.50
  6. Step 6: Final answer
    x = 1,018,490.02

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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.