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Finding the Third Proportional to 61,172 and 86,143

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Solution

The third proportional to 61,172 and 86,143 is: 121,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,172 : 86,143 = 86,143 : x
  2. Step 2: Convert to fraction form
    61,172/86,143 = 86,143/x
  3. Step 3: Cross multiply
    61,172x = 86,143 × 86,143
  4. Step 4: Simplify right side
    61,172x = 7,420,616,449
  5. Step 5: Solve for x
    x = 7,420,616,449/61,172
  6. Step 6: Final answer
    x = 121,307.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.