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Finding the Third Proportional to 971,280 and 1,520,320

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Solution

The third proportional to 971,280 and 1,520,320 is: 2,379,718.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,280 : 1,520,320 = 1,520,320 : x
  2. Step 2: Convert to fraction form
    971,280/1,520,320 = 1,520,320/x
  3. Step 3: Cross multiply
    971,280x = 1,520,320 × 1,520,320
  4. Step 4: Simplify right side
    971,280x = 2,311,372,902,400
  5. Step 5: Solve for x
    x = 2,311,372,902,400/971,280
  6. Step 6: Final answer
    x = 2,379,718.42

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.