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Finding the Third Proportional to 51,803 and 77,385

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Solution

The third proportional to 51,803 and 77,385 is: 115,600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,803 : 77,385 = 77,385 : x
  2. Step 2: Convert to fraction form
    51,803/77,385 = 77,385/x
  3. Step 3: Cross multiply
    51,803x = 77,385 × 77,385
  4. Step 4: Simplify right side
    51,803x = 5,988,438,225
  5. Step 5: Solve for x
    x = 5,988,438,225/51,803
  6. Step 6: Final answer
    x = 115,600.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.