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Finding the Third Proportional to 401,555 and 645,749

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Solution

The third proportional to 401,555 and 645,749 is: 1,038,442.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,555 : 645,749 = 645,749 : x
  2. Step 2: Convert to fraction form
    401,555/645,749 = 645,749/x
  3. Step 3: Cross multiply
    401,555x = 645,749 × 645,749
  4. Step 4: Simplify right side
    401,555x = 416,991,771,001
  5. Step 5: Solve for x
    x = 416,991,771,001/401,555
  6. Step 6: Final answer
    x = 1,038,442.48

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.