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Finding the Third Proportional to 647,247 and 970,871

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Solution

The third proportional to 647,247 and 970,871 is: 1,456,307.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,247 : 970,871 = 970,871 : x
  2. Step 2: Convert to fraction form
    647,247/970,871 = 970,871/x
  3. Step 3: Cross multiply
    647,247x = 970,871 × 970,871
  4. Step 4: Simplify right side
    647,247x = 942,590,498,641
  5. Step 5: Solve for x
    x = 942,590,498,641/647,247
  6. Step 6: Final answer
    x = 1,456,307.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.