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Finding the Third Proportional to 61,621 and 132,854

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Solution

The third proportional to 61,621 and 132,854 is: 286,431.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,621 : 132,854 = 132,854 : x
  2. Step 2: Convert to fraction form
    61,621/132,854 = 132,854/x
  3. Step 3: Cross multiply
    61,621x = 132,854 × 132,854
  4. Step 4: Simplify right side
    61,621x = 17,650,185,316
  5. Step 5: Solve for x
    x = 17,650,185,316/61,621
  6. Step 6: Final answer
    x = 286,431.34

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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.