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Finding the Third Proportional to 74,862 and 163,791

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Solution

The third proportional to 74,862 and 163,791 is: 358,359.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,862 : 163,791 = 163,791 : x
  2. Step 2: Convert to fraction form
    74,862/163,791 = 163,791/x
  3. Step 3: Cross multiply
    74,862x = 163,791 × 163,791
  4. Step 4: Simplify right side
    74,862x = 26,827,491,681
  5. Step 5: Solve for x
    x = 26,827,491,681/74,862
  6. Step 6: Final answer
    x = 358,359.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.