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Finding the Third Proportional to 401,556 and 645,750

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Solution

The third proportional to 401,556 and 645,750 is: 1,038,443.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,556 : 645,750 = 645,750 : x
  2. Step 2: Convert to fraction form
    401,556/645,750 = 645,750/x
  3. Step 3: Cross multiply
    401,556x = 645,750 × 645,750
  4. Step 4: Simplify right side
    401,556x = 416,993,062,500
  5. Step 5: Solve for x
    x = 416,993,062,500/401,556
  6. Step 6: Final answer
    x = 1,038,443.11

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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.