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Finding the Third Proportional to 362,400 and 785,280

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Solution

The third proportional to 362,400 and 785,280 is: 1,701,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,400 : 785,280 = 785,280 : x
  2. Step 2: Convert to fraction form
    362,400/785,280 = 785,280/x
  3. Step 3: Cross multiply
    362,400x = 785,280 × 785,280
  4. Step 4: Simplify right side
    362,400x = 616,664,678,400
  5. Step 5: Solve for x
    x = 616,664,678,400/362,400
  6. Step 6: Final answer
    x = 1,701,613.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.