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Finding the Third Proportional to 72,385 and 97,275

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Solution

The third proportional to 72,385 and 97,275 is: 130,723.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,385 : 97,275 = 97,275 : x
  2. Step 2: Convert to fraction form
    72,385/97,275 = 97,275/x
  3. Step 3: Cross multiply
    72,385x = 97,275 × 97,275
  4. Step 4: Simplify right side
    72,385x = 9,462,425,625
  5. Step 5: Solve for x
    x = 9,462,425,625/72,385
  6. Step 6: Final answer
    x = 130,723.57

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.