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Finding the Third Proportional to 646,797 and 1,406,847

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Solution

The third proportional to 646,797 and 1,406,847 is: 3,060,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,797 : 1,406,847 = 1,406,847 : x
  2. Step 2: Convert to fraction form
    646,797/1,406,847 = 1,406,847/x
  3. Step 3: Cross multiply
    646,797x = 1,406,847 × 1,406,847
  4. Step 4: Simplify right side
    646,797x = 1,979,218,481,409
  5. Step 5: Solve for x
    x = 1,979,218,481,409/646,797
  6. Step 6: Final answer
    x = 3,060,030.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.