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Finding the Third Proportional to 400,253 and 608,632

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Solution

The third proportional to 400,253 and 608,632 is: 925,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,253 : 608,632 = 608,632 : x
  2. Step 2: Convert to fraction form
    400,253/608,632 = 608,632/x
  3. Step 3: Cross multiply
    400,253x = 608,632 × 608,632
  4. Step 4: Simplify right side
    400,253x = 370,432,911,424
  5. Step 5: Solve for x
    x = 370,432,911,424/400,253
  6. Step 6: Final answer
    x = 925,496.90

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.