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Finding the Third Proportional to 56,356 and 87,760

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Solution

The third proportional to 56,356 and 87,760 is: 136,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,356 : 87,760 = 87,760 : x
  2. Step 2: Convert to fraction form
    56,356/87,760 = 87,760/x
  3. Step 3: Cross multiply
    56,356x = 87,760 × 87,760
  4. Step 4: Simplify right side
    56,356x = 7,701,817,600
  5. Step 5: Solve for x
    x = 7,701,817,600/56,356
  6. Step 6: Final answer
    x = 136,663.67

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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.