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Finding the Third Proportional to 51,507 and 79,712

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Solution

The third proportional to 51,507 and 79,712 is: 123,361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,507 : 79,712 = 79,712 : x
  2. Step 2: Convert to fraction form
    51,507/79,712 = 79,712/x
  3. Step 3: Cross multiply
    51,507x = 79,712 × 79,712
  4. Step 4: Simplify right side
    51,507x = 6,354,002,944
  5. Step 5: Solve for x
    x = 6,354,002,944/51,507
  6. Step 6: Final answer
    x = 123,361.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.