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Finding the Third Proportional to 264,639 and 624,619

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Solution

The third proportional to 264,639 and 624,619 is: 1,474,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,639 : 624,619 = 624,619 : x
  2. Step 2: Convert to fraction form
    264,639/624,619 = 624,619/x
  3. Step 3: Cross multiply
    264,639x = 624,619 × 624,619
  4. Step 4: Simplify right side
    264,639x = 390,148,895,161
  5. Step 5: Solve for x
    x = 390,148,895,161/264,639
  6. Step 6: Final answer
    x = 1,474,268.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.