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Finding the Third Proportional to 542,617 and 1,178,609

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Solution

The third proportional to 542,617 and 1,178,609 is: 2,560,036.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,617 : 1,178,609 = 1,178,609 : x
  2. Step 2: Convert to fraction form
    542,617/1,178,609 = 1,178,609/x
  3. Step 3: Cross multiply
    542,617x = 1,178,609 × 1,178,609
  4. Step 4: Simplify right side
    542,617x = 1,389,119,174,881
  5. Step 5: Solve for x
    x = 1,389,119,174,881/542,617
  6. Step 6: Final answer
    x = 2,560,036.22

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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.