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Finding the Third Proportional to 56,784 and 86,553

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Solution

The third proportional to 56,784 and 86,553 is: 131,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,784 : 86,553 = 86,553 : x
  2. Step 2: Convert to fraction form
    56,784/86,553 = 86,553/x
  3. Step 3: Cross multiply
    56,784x = 86,553 × 86,553
  4. Step 4: Simplify right side
    56,784x = 7,491,421,809
  5. Step 5: Solve for x
    x = 7,491,421,809/56,784
  6. Step 6: Final answer
    x = 131,928.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.