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Finding the Third Proportional to 56,372 and 86,678

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Solution

The third proportional to 56,372 and 86,678 is: 133,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,372 : 86,678 = 86,678 : x
  2. Step 2: Convert to fraction form
    56,372/86,678 = 86,678/x
  3. Step 3: Cross multiply
    56,372x = 86,678 × 86,678
  4. Step 4: Simplify right side
    56,372x = 7,513,075,684
  5. Step 5: Solve for x
    x = 7,513,075,684/56,372
  6. Step 6: Final answer
    x = 133,276.73

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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.