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Finding the Third Proportional to 361,700 and 785,670

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Solution

The third proportional to 361,700 and 785,670 is: 1,706,600.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,700 : 785,670 = 785,670 : x
  2. Step 2: Convert to fraction form
    361,700/785,670 = 785,670/x
  3. Step 3: Cross multiply
    361,700x = 785,670 × 785,670
  4. Step 4: Simplify right side
    361,700x = 617,277,348,900
  5. Step 5: Solve for x
    x = 617,277,348,900/361,700
  6. Step 6: Final answer
    x = 1,706,600.36

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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.