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Finding the Third Proportional to 56,355 and 87,762

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Solution

The third proportional to 56,355 and 87,762 is: 136,672.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,355 : 87,762 = 87,762 : x
  2. Step 2: Convert to fraction form
    56,355/87,762 = 87,762/x
  3. Step 3: Cross multiply
    56,355x = 87,762 × 87,762
  4. Step 4: Simplify right side
    56,355x = 7,702,168,644
  5. Step 5: Solve for x
    x = 7,702,168,644/56,355
  6. Step 6: Final answer
    x = 136,672.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.