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Finding the Third Proportional to 646,670 and 1,396,588

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Solution

The third proportional to 646,670 and 1,396,588 is: 3,016,156.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,670 : 1,396,588 = 1,396,588 : x
  2. Step 2: Convert to fraction form
    646,670/1,396,588 = 1,396,588/x
  3. Step 3: Cross multiply
    646,670x = 1,396,588 × 1,396,588
  4. Step 4: Simplify right side
    646,670x = 1,950,458,041,744
  5. Step 5: Solve for x
    x = 1,950,458,041,744/646,670
  6. Step 6: Final answer
    x = 3,016,156.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.