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Finding the Third Proportional to 638,280 and 971,244

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Solution

The third proportional to 638,280 and 971,244 is: 1,477,901.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,280 : 971,244 = 971,244 : x
  2. Step 2: Convert to fraction form
    638,280/971,244 = 971,244/x
  3. Step 3: Cross multiply
    638,280x = 971,244 × 971,244
  4. Step 4: Simplify right side
    638,280x = 943,314,907,536
  5. Step 5: Solve for x
    x = 943,314,907,536/638,280
  6. Step 6: Final answer
    x = 1,477,901.40

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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.