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Finding the Third Proportional to 401,935 and 639,803

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Solution

The third proportional to 401,935 and 639,803 is: 1,018,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,935 : 639,803 = 639,803 : x
  2. Step 2: Convert to fraction form
    401,935/639,803 = 639,803/x
  3. Step 3: Cross multiply
    401,935x = 639,803 × 639,803
  4. Step 4: Simplify right side
    401,935x = 409,347,878,809
  5. Step 5: Solve for x
    x = 409,347,878,809/401,935
  6. Step 6: Final answer
    x = 1,018,442.98

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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.