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Finding the Third Proportional to 405,459 and 621,926

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Solution

The third proportional to 405,459 and 621,926 is: 953,960.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,459 : 621,926 = 621,926 : x
  2. Step 2: Convert to fraction form
    405,459/621,926 = 621,926/x
  3. Step 3: Cross multiply
    405,459x = 621,926 × 621,926
  4. Step 4: Simplify right side
    405,459x = 386,791,949,476
  5. Step 5: Solve for x
    x = 386,791,949,476/405,459
  6. Step 6: Final answer
    x = 953,960.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.