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Finding the Third Proportional to 56,515 and 85,501

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Solution

The third proportional to 56,515 and 85,501 is: 129,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,515 : 85,501 = 85,501 : x
  2. Step 2: Convert to fraction form
    56,515/85,501 = 85,501/x
  3. Step 3: Cross multiply
    56,515x = 85,501 × 85,501
  4. Step 4: Simplify right side
    56,515x = 7,310,421,001
  5. Step 5: Solve for x
    x = 7,310,421,001/56,515
  6. Step 6: Final answer
    x = 129,353.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.