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Finding the Third Proportional to 56,373 and 86,679

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Solution

The third proportional to 56,373 and 86,679 is: 133,277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,373 : 86,679 = 86,679 : x
  2. Step 2: Convert to fraction form
    56,373/86,679 = 86,679/x
  3. Step 3: Cross multiply
    56,373x = 86,679 × 86,679
  4. Step 4: Simplify right side
    56,373x = 7,513,249,041
  5. Step 5: Solve for x
    x = 7,513,249,041/56,373
  6. Step 6: Final answer
    x = 133,277.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.