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Finding the Third Proportional to 77,122 and 115,047

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Solution

The third proportional to 77,122 and 115,047 is: 171,621.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,122 : 115,047 = 115,047 : x
  2. Step 2: Convert to fraction form
    77,122/115,047 = 115,047/x
  3. Step 3: Cross multiply
    77,122x = 115,047 × 115,047
  4. Step 4: Simplify right side
    77,122x = 13,235,812,209
  5. Step 5: Solve for x
    x = 13,235,812,209/77,122
  6. Step 6: Final answer
    x = 171,621.74

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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.